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Finding the Fourth Proportional to 457,385.22, 686,169.83 and 157,877.39

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Solution

The fourth proportional to 457,385.22, 686,169.83 and 157,877.39 is: 236,847.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,385.22 : 686,169.83 = 157,877.39 : x
  2. Step 2: Convert to fraction form
    457,385.22/686,169.83 = 157,877.39/x
  3. Step 3: Cross multiply
    457,385.22x = 686,169.83 × 157,877.39
  4. Step 4: Simplify right side
    457,385.22x = 108,330,703,967.26
  5. Step 5: Solve for x
    x = 108,330,703,967.26/457,385.22
  6. Step 6: Final answer
    x = 236,847.85

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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.