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Finding the Fourth Proportional to 477,427.76, 658,934.52 and 273,489.20

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Solution

The fourth proportional to 477,427.76, 658,934.52 and 273,489.20 is: 377,463.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,427.76 : 658,934.52 = 273,489.20 : x
  2. Step 2: Convert to fraction form
    477,427.76/658,934.52 = 273,489.20/x
  3. Step 3: Cross multiply
    477,427.76x = 658,934.52 × 273,489.20
  4. Step 4: Simplify right side
    477,427.76x = 180,211,474,727.18
  5. Step 5: Solve for x
    x = 180,211,474,727.18/477,427.76
  6. Step 6: Final answer
    x = 377,463.34

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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.