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Finding the Fourth Proportional to 486,082.70, 729,124.05 and 409,100.30

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Solution

The fourth proportional to 486,082.70, 729,124.05 and 409,100.30 is: 613,650.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,082.70 : 729,124.05 = 409,100.30 : x
  2. Step 2: Convert to fraction form
    486,082.70/729,124.05 = 409,100.30/x
  3. Step 3: Cross multiply
    486,082.70x = 729,124.05 × 409,100.30
  4. Step 4: Simplify right side
    486,082.70x = 298,284,867,592.22
  5. Step 5: Solve for x
    x = 298,284,867,592.22/486,082.70
  6. Step 6: Final answer
    x = 613,650.45

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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.