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Finding the Fourth Proportional to 257,006.88, 354,696 and 148,115.04

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Solution

The fourth proportional to 257,006.88, 354,696 and 148,115.04 is: 204,414.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,006.88 : 354,696 = 148,115.04 : x
  2. Step 2: Convert to fraction form
    257,006.88/354,696 = 148,115.04/x
  3. Step 3: Cross multiply
    257,006.88x = 354,696 × 148,115.04
  4. Step 4: Simplify right side
    257,006.88x = 52,535,812,227.84
  5. Step 5: Solve for x
    x = 52,535,812,227.84/257,006.88
  6. Step 6: Final answer
    x = 204,414.03

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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.