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Finding the Fourth Proportional to 488,567.20, 731,217.84 and 278,148.64

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Solution

The fourth proportional to 488,567.20, 731,217.84 and 278,148.64 is: 416,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,567.20 : 731,217.84 = 278,148.64 : x
  2. Step 2: Convert to fraction form
    488,567.20/731,217.84 = 278,148.64/x
  3. Step 3: Cross multiply
    488,567.20x = 731,217.84 × 278,148.64
  4. Step 4: Simplify right side
    488,567.20x = 203,387,247,739.74
  5. Step 5: Solve for x
    x = 203,387,247,739.74/488,567.20
  6. Step 6: Final answer
    x = 416,293.29

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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.