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Finding the Fourth Proportional to 457,387.22, 686,172.83 and 157,879.39

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Solution

The fourth proportional to 457,387.22, 686,172.83 and 157,879.39 is: 236,850.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,387.22 : 686,172.83 = 157,879.39 : x
  2. Step 2: Convert to fraction form
    457,387.22/686,172.83 = 157,879.39/x
  3. Step 3: Cross multiply
    457,387.22x = 686,172.83 × 157,879.39
  4. Step 4: Simplify right side
    457,387.22x = 108,332,547,834.97
  5. Step 5: Solve for x
    x = 108,332,547,834.97/457,387.22
  6. Step 6: Final answer
    x = 236,850.84

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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.