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Finding the Fourth Proportional to 457,680.36, 686,566.62 and 120,744.30

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Solution

The fourth proportional to 457,680.36, 686,566.62 and 120,744.30 is: 181,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,680.36 : 686,566.62 = 120,744.30 : x
  2. Step 2: Convert to fraction form
    457,680.36/686,566.62 = 120,744.30/x
  3. Step 3: Cross multiply
    457,680.36x = 686,566.62 × 120,744.30
  4. Step 4: Simplify right side
    457,680.36x = 82,899,005,935.27
  5. Step 5: Solve for x
    x = 82,899,005,935.27/457,680.36
  6. Step 6: Final answer
    x = 181,128.61

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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.