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Finding the Fourth Proportional to 312,562.85, 431,336.93 and 169,323.46

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Solution

The fourth proportional to 312,562.85, 431,336.93 and 169,323.46 is: 233,666.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,562.85 : 431,336.93 = 169,323.46 : x
  2. Step 2: Convert to fraction form
    312,562.85/431,336.93 = 169,323.46/x
  3. Step 3: Cross multiply
    312,562.85x = 431,336.93 × 169,323.46
  4. Step 4: Simplify right side
    312,562.85x = 73,035,461,413.38
  5. Step 5: Solve for x
    x = 73,035,461,413.38/312,562.85
  6. Step 6: Final answer
    x = 233,666.48

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.