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Finding the Fourth Proportional to 257,478, 386,217.54 and 109,734

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Solution

The fourth proportional to 257,478, 386,217.54 and 109,734 is: 164,601.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,478 : 386,217.54 = 109,734 : x
  2. Step 2: Convert to fraction form
    257,478/386,217.54 = 109,734/x
  3. Step 3: Cross multiply
    257,478x = 386,217.54 × 109,734
  4. Step 4: Simplify right side
    257,478x = 42,381,195,534.36
  5. Step 5: Solve for x
    x = 42,381,195,534.36/257,478
  6. Step 6: Final answer
    x = 164,601.23

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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.