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Finding the Fourth Proportional to 354,781.02, 531,414.90 and 287,022.30

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Solution

The fourth proportional to 354,781.02, 531,414.90 and 287,022.30 is: 429,921.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,781.02 : 531,414.90 = 287,022.30 : x
  2. Step 2: Convert to fraction form
    354,781.02/531,414.90 = 287,022.30/x
  3. Step 3: Cross multiply
    354,781.02x = 531,414.90 × 287,022.30
  4. Step 4: Simplify right side
    354,781.02x = 152,527,926,852.27
  5. Step 5: Solve for x
    x = 152,527,926,852.27/354,781.02
  6. Step 6: Final answer
    x = 429,921.33

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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.