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Finding the Fourth Proportional to 485,064.70, 727,597.05 and 408,082.30

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Solution

The fourth proportional to 485,064.70, 727,597.05 and 408,082.30 is: 612,123.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,064.70 : 727,597.05 = 408,082.30 : x
  2. Step 2: Convert to fraction form
    485,064.70/727,597.05 = 408,082.30/x
  3. Step 3: Cross multiply
    485,064.70x = 727,597.05 × 408,082.30
  4. Step 4: Simplify right side
    485,064.70x = 296,919,477,637.22
  5. Step 5: Solve for x
    x = 296,919,477,637.22/485,064.70
  6. Step 6: Final answer
    x = 612,123.45

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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.