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Finding the Fourth Proportional to 437,684.32, 656,431.68 and 117,828.28

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Solution

The fourth proportional to 437,684.32, 656,431.68 and 117,828.28 is: 176,716.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    437,684.32 : 656,431.68 = 117,828.28 : x
  2. Step 2: Convert to fraction form
    437,684.32/656,431.68 = 117,828.28/x
  3. Step 3: Cross multiply
    437,684.32x = 656,431.68 × 117,828.28
  4. Step 4: Simplify right side
    437,684.32x = 77,346,215,791.91
  5. Step 5: Solve for x
    x = 77,346,215,791.91/437,684.32
  6. Step 6: Final answer
    x = 176,716.90

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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.