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Finding the Fourth Proportional to 288,343.74, 432,608.15 and 138,594.90

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Solution

The fourth proportional to 288,343.74, 432,608.15 and 138,594.90 is: 207,936.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,343.74 : 432,608.15 = 138,594.90 : x
  2. Step 2: Convert to fraction form
    288,343.74/432,608.15 = 138,594.90/x
  3. Step 3: Cross multiply
    288,343.74x = 432,608.15 × 138,594.90
  4. Step 4: Simplify right side
    288,343.74x = 59,957,283,288.44
  5. Step 5: Solve for x
    x = 59,957,283,288.44/288,343.74
  6. Step 6: Final answer
    x = 207,936.83

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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.