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Finding the Fourth Proportional to 457,349.10, 686,023.65 and 308,049.90

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Solution

The fourth proportional to 457,349.10, 686,023.65 and 308,049.90 is: 462,074.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,349.10 : 686,023.65 = 308,049.90 : x
  2. Step 2: Convert to fraction form
    457,349.10/686,023.65 = 308,049.90/x
  3. Step 3: Cross multiply
    457,349.10x = 686,023.65 × 308,049.90
  4. Step 4: Simplify right side
    457,349.10x = 211,329,516,780.14
  5. Step 5: Solve for x
    x = 211,329,516,780.14/457,349.10
  6. Step 6: Final answer
    x = 462,074.85

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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.