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Finding the Fourth Proportional to 457,755.04, 686,498.16 and 177,205.28

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Solution

The fourth proportional to 457,755.04, 686,498.16 and 177,205.28 is: 265,755.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,755.04 : 686,498.16 = 177,205.28 : x
  2. Step 2: Convert to fraction form
    457,755.04/686,498.16 = 177,205.28/x
  3. Step 3: Cross multiply
    457,755.04x = 686,498.16 × 177,205.28
  4. Step 4: Simplify right side
    457,755.04x = 121,651,098,662.29
  5. Step 5: Solve for x
    x = 121,651,098,662.29/457,755.04
  6. Step 6: Final answer
    x = 265,755.89

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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.