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Finding the Fourth Proportional to 412,920.90, 619,381.35 and 272,679.53

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Solution

The fourth proportional to 412,920.90, 619,381.35 and 272,679.53 is: 409,019.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,920.90 : 619,381.35 = 272,679.53 : x
  2. Step 2: Convert to fraction form
    412,920.90/619,381.35 = 272,679.53/x
  3. Step 3: Cross multiply
    412,920.90x = 619,381.35 × 272,679.53
  4. Step 4: Simplify right side
    412,920.90x = 168,892,612,311.86
  5. Step 5: Solve for x
    x = 168,892,612,311.86/412,920.90
  6. Step 6: Final answer
    x = 409,019.29

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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.