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Finding the Fourth Proportional to 488,217.80, 735,252.35 and 429,693.32

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Solution

The fourth proportional to 488,217.80, 735,252.35 and 429,693.32 is: 647,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,217.80 : 735,252.35 = 429,693.32 : x
  2. Step 2: Convert to fraction form
    488,217.80/735,252.35 = 429,693.32/x
  3. Step 3: Cross multiply
    488,217.80x = 735,252.35 × 429,693.32
  4. Step 4: Simplify right side
    488,217.80x = 315,933,023,309.30
  5. Step 5: Solve for x
    x = 315,933,023,309.30/488,217.80
  6. Step 6: Final answer
    x = 647,114.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.