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Finding the Fourth Proportional to 457,910.75, 686,898.92 and 120,948.04

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Solution

The fourth proportional to 457,910.75, 686,898.92 and 120,948.04 is: 181,430.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,910.75 : 686,898.92 = 120,948.04 : x
  2. Step 2: Convert to fraction form
    457,910.75/686,898.92 = 120,948.04/x
  3. Step 3: Cross multiply
    457,910.75x = 686,898.92 × 120,948.04
  4. Step 4: Simplify right side
    457,910.75x = 83,079,076,600.87
  5. Step 5: Solve for x
    x = 83,079,076,600.87/457,910.75
  6. Step 6: Final answer
    x = 181,430.72

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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.