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Finding the Fourth Proportional to 437,689.14, 656,287.46 and 138,113.88

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Solution

The fourth proportional to 437,689.14, 656,287.46 and 138,113.88 is: 207,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,689.14 : 656,287.46 = 138,113.88 : x
  2. Step 2: Convert to fraction form
    437,689.14/656,287.46 = 138,113.88/x
  3. Step 3: Cross multiply
    437,689.14x = 656,287.46 × 138,113.88
  4. Step 4: Simplify right side
    437,689.14x = 90,642,406,805.38
  5. Step 5: Solve for x
    x = 90,642,406,805.38/437,689.14
  6. Step 6: Final answer
    x = 207,093.11

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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.