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Finding the Fourth Proportional to 457,805.10, 686,707.65 and 298,372.80

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Solution

The fourth proportional to 457,805.10, 686,707.65 and 298,372.80 is: 447,559.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,805.10 : 686,707.65 = 298,372.80 : x
  2. Step 2: Convert to fraction form
    457,805.10/686,707.65 = 298,372.80/x
  3. Step 3: Cross multiply
    457,805.10x = 686,707.65 × 298,372.80
  4. Step 4: Simplify right side
    457,805.10x = 204,894,884,311.92
  5. Step 5: Solve for x
    x = 204,894,884,311.92/457,805.10
  6. Step 6: Final answer
    x = 447,559.20

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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.