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Finding the Fourth Proportional to 381,248.88, 571,474.31 and 128,442.01

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Solution

The fourth proportional to 381,248.88, 571,474.31 and 128,442.01 is: 192,528.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,248.88 : 571,474.31 = 128,442.01 : x
  2. Step 2: Convert to fraction form
    381,248.88/571,474.31 = 128,442.01/x
  3. Step 3: Cross multiply
    381,248.88x = 571,474.31 × 128,442.01
  4. Step 4: Simplify right side
    381,248.88x = 73,401,307,507.68
  5. Step 5: Solve for x
    x = 73,401,307,507.68/381,248.88
  6. Step 6: Final answer
    x = 192,528.59

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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.