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Finding the Fourth Proportional to 546,800.20, 820,200.30 and 378,510.55

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Solution

The fourth proportional to 546,800.20, 820,200.30 and 378,510.55 is: 567,765.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,800.20 : 820,200.30 = 378,510.55 : x
  2. Step 2: Convert to fraction form
    546,800.20/820,200.30 = 378,510.55/x
  3. Step 3: Cross multiply
    546,800.20x = 820,200.30 × 378,510.55
  4. Step 4: Simplify right side
    546,800.20x = 310,454,466,663.17
  5. Step 5: Solve for x
    x = 310,454,466,663.17/546,800.20
  6. Step 6: Final answer
    x = 567,765.83

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Similar ratio
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1.5x scale

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.