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Finding the Fourth Proportional to 457,607.46, 686,367.45 and 280,023.06

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Solution

The fourth proportional to 457,607.46, 686,367.45 and 280,023.06 is: 420,007.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,607.46 : 686,367.45 = 280,023.06 : x
  2. Step 2: Convert to fraction form
    457,607.46/686,367.45 = 280,023.06/x
  3. Step 3: Cross multiply
    457,607.46x = 686,367.45 × 280,023.06
  4. Step 4: Simplify right side
    457,607.46x = 192,198,713,633.40
  5. Step 5: Solve for x
    x = 192,198,713,633.40/457,607.46
  6. Step 6: Final answer
    x = 420,007.82

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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.