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Finding the Fourth Proportional to 521,772.30, 782,464.05 and 363,530.70

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Solution

The fourth proportional to 521,772.30, 782,464.05 and 363,530.70 is: 545,160.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,772.30 : 782,464.05 = 363,530.70 : x
  2. Step 2: Convert to fraction form
    521,772.30/782,464.05 = 363,530.70/x
  3. Step 3: Cross multiply
    521,772.30x = 782,464.05 × 363,530.70
  4. Step 4: Simplify right side
    521,772.30x = 284,449,703,821.34
  5. Step 5: Solve for x
    x = 284,449,703,821.34/521,772.30
  6. Step 6: Final answer
    x = 545,160.61

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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.