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Finding the Fourth Proportional to 485,138.80, 727,708.20 and 343,421.20

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Solution

The fourth proportional to 485,138.80, 727,708.20 and 343,421.20 is: 515,131.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,138.80 : 727,708.20 = 343,421.20 : x
  2. Step 2: Convert to fraction form
    485,138.80/727,708.20 = 343,421.20/x
  3. Step 3: Cross multiply
    485,138.80x = 727,708.20 × 343,421.20
  4. Step 4: Simplify right side
    485,138.80x = 249,910,423,293.84
  5. Step 5: Solve for x
    x = 249,910,423,293.84/485,138.80
  6. Step 6: Final answer
    x = 515,131.80

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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.