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Finding the Fourth Proportional to 542,190.72, 813,247.20 and 275,784.96

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Solution

The fourth proportional to 542,190.72, 813,247.20 and 275,784.96 is: 413,657.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,190.72 : 813,247.20 = 275,784.96 : x
  2. Step 2: Convert to fraction form
    542,190.72/813,247.20 = 275,784.96/x
  3. Step 3: Cross multiply
    542,190.72x = 813,247.20 × 275,784.96
  4. Step 4: Simplify right side
    542,190.72x = 224,281,346,522.11
  5. Step 5: Solve for x
    x = 224,281,346,522.11/542,190.72
  6. Step 6: Final answer
    x = 413,657.66

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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.