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Finding the Fourth Proportional to 485,065.20, 727,597.80 and 466,402.80

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Solution

The fourth proportional to 485,065.20, 727,597.80 and 466,402.80 is: 699,604.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,065.20 : 727,597.80 = 466,402.80 : x
  2. Step 2: Convert to fraction form
    485,065.20/727,597.80 = 466,402.80/x
  3. Step 3: Cross multiply
    485,065.20x = 727,597.80 × 466,402.80
  4. Step 4: Simplify right side
    485,065.20x = 339,353,651,193.84
  5. Step 5: Solve for x
    x = 339,353,651,193.84/485,065.20
  6. Step 6: Final answer
    x = 699,604.20

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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.