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Finding the Fourth Proportional to 312,562.47, 431,336.41 and 169,323.08

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Solution

The fourth proportional to 312,562.47, 431,336.41 and 169,323.08 is: 233,665.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,562.47 : 431,336.41 = 169,323.08 : x
  2. Step 2: Convert to fraction form
    312,562.47/431,336.41 = 169,323.08/x
  3. Step 3: Cross multiply
    312,562.47x = 431,336.41 × 169,323.08
  4. Step 4: Simplify right side
    312,562.47x = 73,035,209,457.34
  5. Step 5: Solve for x
    x = 73,035,209,457.34/312,562.47
  6. Step 6: Final answer
    x = 233,665.96

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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.