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Finding the Fourth Proportional to 432,139.20, 647,978.40 and 182,539.20

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Solution

The fourth proportional to 432,139.20, 647,978.40 and 182,539.20 is: 273,711.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,139.20 : 647,978.40 = 182,539.20 : x
  2. Step 2: Convert to fraction form
    432,139.20/647,978.40 = 182,539.20/x
  3. Step 3: Cross multiply
    432,139.20x = 647,978.40 × 182,539.20
  4. Step 4: Simplify right side
    432,139.20x = 118,281,458,753.28
  5. Step 5: Solve for x
    x = 118,281,458,753.28/432,139.20
  6. Step 6: Final answer
    x = 273,711.48

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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.