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Finding the Fourth Proportional to 381,139.90, 571,895.74 and 156,567.80

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Solution

The fourth proportional to 381,139.90, 571,895.74 and 156,567.80 is: 234,928.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,139.90 : 571,895.74 = 156,567.80 : x
  2. Step 2: Convert to fraction form
    381,139.90/571,895.74 = 156,567.80/x
  3. Step 3: Cross multiply
    381,139.90x = 571,895.74 × 156,567.80
  4. Step 4: Simplify right side
    381,139.90x = 89,540,459,466.62
  5. Step 5: Solve for x
    x = 89,540,459,466.62/381,139.90
  6. Step 6: Final answer
    x = 234,928.07

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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.