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Finding the Fourth Proportional to 437,690.64, 656,289.71 and 138,115.38

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Solution

The fourth proportional to 437,690.64, 656,289.71 and 138,115.38 is: 207,095.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,690.64 : 656,289.71 = 138,115.38 : x
  2. Step 2: Convert to fraction form
    437,690.64/656,289.71 = 138,115.38/x
  3. Step 3: Cross multiply
    437,690.64x = 656,289.71 × 138,115.38
  4. Step 4: Simplify right side
    437,690.64x = 90,643,701,996.16
  5. Step 5: Solve for x
    x = 90,643,701,996.16/437,690.64
  6. Step 6: Final answer
    x = 207,095.36

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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.