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Finding the Fourth Proportional to 457,380.48, 686,008.44 and 120,392.91

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Solution

The fourth proportional to 457,380.48, 686,008.44 and 120,392.91 is: 180,572.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,380.48 : 686,008.44 = 120,392.91 : x
  2. Step 2: Convert to fraction form
    457,380.48/686,008.44 = 120,392.91/x
  3. Step 3: Cross multiply
    457,380.48x = 686,008.44 × 120,392.91
  4. Step 4: Simplify right side
    457,380.48x = 82,590,552,376.16
  5. Step 5: Solve for x
    x = 82,590,552,376.16/457,380.48
  6. Step 6: Final answer
    x = 180,572.97

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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.