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Finding the Fourth Proportional to 257,097.71, 354,708.88 and 149,644.93

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Solution

The fourth proportional to 257,097.71, 354,708.88 and 149,644.93 is: 206,459.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,097.71 : 354,708.88 = 149,644.93 : x
  2. Step 2: Convert to fraction form
    257,097.71/354,708.88 = 149,644.93/x
  3. Step 3: Cross multiply
    257,097.71x = 354,708.88 × 149,644.93
  4. Step 4: Simplify right side
    257,097.71x = 53,080,385,517.98
  5. Step 5: Solve for x
    x = 53,080,385,517.98/257,097.71
  6. Step 6: Final answer
    x = 206,459.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.