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Finding the Fourth Proportional to 437,515.76, 656,391.36 and 138,008

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Solution

The fourth proportional to 437,515.76, 656,391.36 and 138,008 is: 207,049.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,515.76 : 656,391.36 = 138,008 : x
  2. Step 2: Convert to fraction form
    437,515.76/656,391.36 = 138,008/x
  3. Step 3: Cross multiply
    437,515.76x = 656,391.36 × 138,008
  4. Step 4: Simplify right side
    437,515.76x = 90,587,258,810.88
  5. Step 5: Solve for x
    x = 90,587,258,810.88/437,515.76
  6. Step 6: Final answer
    x = 207,049.13

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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.