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Finding the Fourth Proportional to 288,342.74, 432,606.65 and 138,593.90

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Solution

The fourth proportional to 288,342.74, 432,606.65 and 138,593.90 is: 207,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,342.74 : 432,606.65 = 138,593.90 : x
  2. Step 2: Convert to fraction form
    288,342.74/432,606.65 = 138,593.90/x
  3. Step 3: Cross multiply
    288,342.74x = 432,606.65 × 138,593.90
  4. Step 4: Simplify right side
    288,342.74x = 59,956,639,933.43
  5. Step 5: Solve for x
    x = 59,956,639,933.43/288,342.74
  6. Step 6: Final answer
    x = 207,935.32

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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.