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Finding the Fourth Proportional to 323,142.70, 484,935.47 and 112,780.64

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Solution

The fourth proportional to 323,142.70, 484,935.47 and 112,780.64 is: 169,248.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,142.70 : 484,935.47 = 112,780.64 : x
  2. Step 2: Convert to fraction form
    323,142.70/484,935.47 = 112,780.64/x
  3. Step 3: Cross multiply
    323,142.70x = 484,935.47 × 112,780.64
  4. Step 4: Simplify right side
    323,142.70x = 54,691,332,665.30
  5. Step 5: Solve for x
    x = 54,691,332,665.30/323,142.70
  6. Step 6: Final answer
    x = 169,248.24

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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.