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Finding the Fourth Proportional to 667,705.28, 921,433.64 and 361,781.91

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Solution

The fourth proportional to 667,705.28, 921,433.64 and 361,781.91 is: 499,259.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    667,705.28 : 921,433.64 = 361,781.91 : x
  2. Step 2: Convert to fraction form
    667,705.28/921,433.64 = 361,781.91/x
  3. Step 3: Cross multiply
    667,705.28x = 921,433.64 × 361,781.91
  4. Step 4: Simplify right side
    667,705.28x = 333,358,022,217.45
  5. Step 5: Solve for x
    x = 333,358,022,217.45/667,705.28
  6. Step 6: Final answer
    x = 499,259.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.