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Finding the Fourth Proportional to 257,437.26, 386,046.45 and 117,284.94

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Solution

The fourth proportional to 257,437.26, 386,046.45 and 117,284.94 is: 175,877.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,437.26 : 386,046.45 = 117,284.94 : x
  2. Step 2: Convert to fraction form
    257,437.26/386,046.45 = 117,284.94/x
  3. Step 3: Cross multiply
    257,437.26x = 386,046.45 × 117,284.94
  4. Step 4: Simplify right side
    257,437.26x = 45,277,434,725.46
  5. Step 5: Solve for x
    x = 45,277,434,725.46/257,437.26
  6. Step 6: Final answer
    x = 175,877.55

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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.