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Finding the Fourth Proportional to 457,874.60, 687,016.70 and 208,428.20

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Solution

The fourth proportional to 457,874.60, 687,016.70 and 208,428.20 is: 312,735.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,874.60 : 687,016.70 = 208,428.20 : x
  2. Step 2: Convert to fraction form
    457,874.60/687,016.70 = 208,428.20/x
  3. Step 3: Cross multiply
    457,874.60x = 687,016.70 × 208,428.20
  4. Step 4: Simplify right side
    457,874.60x = 143,193,654,150.94
  5. Step 5: Solve for x
    x = 143,193,654,150.94/457,874.60
  6. Step 6: Final answer
    x = 312,735.53

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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.