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Finding the Fourth Proportional to 381,075.12, 571,612.68 and 156,397.32

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Solution

The fourth proportional to 381,075.12, 571,612.68 and 156,397.32 is: 234,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,075.12 : 571,612.68 = 156,397.32 : x
  2. Step 2: Convert to fraction form
    381,075.12/571,612.68 = 156,397.32/x
  3. Step 3: Cross multiply
    381,075.12x = 571,612.68 × 156,397.32
  4. Step 4: Simplify right side
    381,075.12x = 89,398,691,230.02
  5. Step 5: Solve for x
    x = 89,398,691,230.02/381,075.12
  6. Step 6: Final answer
    x = 234,595.98

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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.