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Finding the Fourth Proportional to 381,347.40, 571,925.13 and 156,770.46

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Solution

The fourth proportional to 381,347.40, 571,925.13 and 156,770.46 is: 235,116.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,347.40 : 571,925.13 = 156,770.46 : x
  2. Step 2: Convert to fraction form
    381,347.40/571,925.13 = 156,770.46/x
  3. Step 3: Cross multiply
    381,347.40x = 571,925.13 × 156,770.46
  4. Step 4: Simplify right side
    381,347.40x = 89,660,965,715.66
  5. Step 5: Solve for x
    x = 89,660,965,715.66/381,347.40
  6. Step 6: Final answer
    x = 235,116.24

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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.