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Finding the Fourth Proportional to 381,420.90, 572,035.50 and 156,844.08

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Solution

The fourth proportional to 381,420.90, 572,035.50 and 156,844.08 is: 235,226.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,420.90 : 572,035.50 = 156,844.08 : x
  2. Step 2: Convert to fraction form
    381,420.90/572,035.50 = 156,844.08/x
  3. Step 3: Cross multiply
    381,420.90x = 572,035.50 × 156,844.08
  4. Step 4: Simplify right side
    381,420.90x = 89,720,381,724.84
  5. Step 5: Solve for x
    x = 89,720,381,724.84/381,420.90
  6. Step 6: Final answer
    x = 235,226.71

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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.