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Finding the Fourth Proportional to 381,143.52, 571,797.84 and 114,881.76

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Solution

The fourth proportional to 381,143.52, 571,797.84 and 114,881.76 is: 172,347.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,143.52 : 571,797.84 = 114,881.76 : x
  2. Step 2: Convert to fraction form
    381,143.52/571,797.84 = 114,881.76/x
  3. Step 3: Cross multiply
    381,143.52x = 571,797.84 × 114,881.76
  4. Step 4: Simplify right side
    381,143.52x = 65,689,142,223.40
  5. Step 5: Solve for x
    x = 65,689,142,223.40/381,143.52
  6. Step 6: Final answer
    x = 172,347.52

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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.