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Finding the Fourth Proportional to 288,342, 432,605.52 and 138,593.16

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Solution

The fourth proportional to 288,342, 432,605.52 and 138,593.16 is: 207,934.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,342 : 432,605.52 = 138,593.16 : x
  2. Step 2: Convert to fraction form
    288,342/432,605.52 = 138,593.16/x
  3. Step 3: Cross multiply
    288,342x = 432,605.52 × 138,593.16
  4. Step 4: Simplify right side
    288,342x = 59,956,166,050.24
  5. Step 5: Solve for x
    x = 59,956,166,050.24/288,342
  6. Step 6: Final answer
    x = 207,934.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.