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Finding the Fourth Proportional to 381,692.85, 572,736.10 and 157,219.17

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Solution

The fourth proportional to 381,692.85, 572,736.10 and 157,219.17 is: 235,909.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,692.85 : 572,736.10 = 157,219.17 : x
  2. Step 2: Convert to fraction form
    381,692.85/572,736.10 = 157,219.17/x
  3. Step 3: Cross multiply
    381,692.85x = 572,736.10 × 157,219.17
  4. Step 4: Simplify right side
    381,692.85x = 90,045,094,271.04
  5. Step 5: Solve for x
    x = 90,045,094,271.04/381,692.85
  6. Step 6: Final answer
    x = 235,909.83

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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.