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Finding the Fourth Proportional to 477,209.83, 715,777.54 and 277,402.78

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Solution

The fourth proportional to 477,209.83, 715,777.54 and 277,402.78 is: 416,082.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,209.83 : 715,777.54 = 277,402.78 : x
  2. Step 2: Convert to fraction form
    477,209.83/715,777.54 = 277,402.78/x
  3. Step 3: Cross multiply
    477,209.83x = 715,777.54 × 277,402.78
  4. Step 4: Simplify right side
    477,209.83x = 198,558,676,974.61
  5. Step 5: Solve for x
    x = 198,558,676,974.61/477,209.83
  6. Step 6: Final answer
    x = 416,082.54

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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.