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Finding the Fourth Proportional to 437,698.64, 656,301.72 and 138,123.40

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Solution

The fourth proportional to 437,698.64, 656,301.72 and 138,123.40 is: 207,107.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,698.64 : 656,301.72 = 138,123.40 : x
  2. Step 2: Convert to fraction form
    437,698.64/656,301.72 = 138,123.40/x
  3. Step 3: Cross multiply
    437,698.64x = 656,301.72 × 138,123.40
  4. Step 4: Simplify right side
    437,698.64x = 90,650,624,992.25
  5. Step 5: Solve for x
    x = 90,650,624,992.25/437,698.64
  6. Step 6: Final answer
    x = 207,107.39

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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.