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Finding the Fourth Proportional to 647,853.20, 972,217.20 and 363,543.20

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Solution

The fourth proportional to 647,853.20, 972,217.20 and 363,543.20 is: 545,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,853.20 : 972,217.20 = 363,543.20 : x
  2. Step 2: Convert to fraction form
    647,853.20/972,217.20 = 363,543.20/x
  3. Step 3: Cross multiply
    647,853.20x = 972,217.20 × 363,543.20
  4. Step 4: Simplify right side
    647,853.20x = 353,442,951,983.04
  5. Step 5: Solve for x
    x = 353,442,951,983.04/647,853.20
  6. Step 6: Final answer
    x = 545,560.25

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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.