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Finding the Fourth Proportional to 477,032.10, 658,888.50 and 356,708.70

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Solution

The fourth proportional to 477,032.10, 658,888.50 and 356,708.70 is: 492,694.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,032.10 : 658,888.50 = 356,708.70 : x
  2. Step 2: Convert to fraction form
    477,032.10/658,888.50 = 356,708.70/x
  3. Step 3: Cross multiply
    477,032.10x = 658,888.50 × 356,708.70
  4. Step 4: Simplify right side
    477,032.10x = 235,031,260,279.95
  5. Step 5: Solve for x
    x = 235,031,260,279.95/477,032.10
  6. Step 6: Final answer
    x = 492,694.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.