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Finding the Fourth Proportional to 977,200.70, 1,465,728.15 and 408,434.90

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Solution

The fourth proportional to 977,200.70, 1,465,728.15 and 408,434.90 is: 612,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,200.70 : 1,465,728.15 = 408,434.90 : x
  2. Step 2: Convert to fraction form
    977,200.70/1,465,728.15 = 408,434.90/x
  3. Step 3: Cross multiply
    977,200.70x = 1,465,728.15 × 408,434.90
  4. Step 4: Simplify right side
    977,200.70x = 598,654,530,372.44
  5. Step 5: Solve for x
    x = 598,654,530,372.44/977,200.70
  6. Step 6: Final answer
    x = 612,621.88

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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.