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Finding the Fourth Proportional to 312,480.93, 431,221.53 and 169,237.69

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Solution

The fourth proportional to 312,480.93, 431,221.53 and 169,237.69 is: 233,546.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,480.93 : 431,221.53 = 169,237.69 : x
  2. Step 2: Convert to fraction form
    312,480.93/431,221.53 = 169,237.69/x
  3. Step 3: Cross multiply
    312,480.93x = 431,221.53 × 169,237.69
  4. Step 4: Simplify right side
    312,480.93x = 72,978,935,615.47
  5. Step 5: Solve for x
    x = 72,978,935,615.47/312,480.93
  6. Step 6: Final answer
    x = 233,546.85

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Half scale
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Double scale
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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.