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Finding the Fourth Proportional to 381,237.84, 571,659.93 and 156,556.40

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Solution

The fourth proportional to 381,237.84, 571,659.93 and 156,556.40 is: 234,753.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,237.84 : 571,659.93 = 156,556.40 : x
  2. Step 2: Convert to fraction form
    381,237.84/571,659.93 = 156,556.40/x
  3. Step 3: Cross multiply
    381,237.84x = 571,659.93 × 156,556.40
  4. Step 4: Simplify right side
    381,237.84x = 89,497,017,806.75
  5. Step 5: Solve for x
    x = 89,497,017,806.75/381,237.84
  6. Step 6: Final answer
    x = 234,753.76

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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.