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Finding the Fourth Proportional to 412,140.08, 568,948.10 and 276,262.78

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Solution

The fourth proportional to 412,140.08, 568,948.10 and 276,262.78 is: 381,373.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,140.08 : 568,948.10 = 276,262.78 : x
  2. Step 2: Convert to fraction form
    412,140.08/568,948.10 = 276,262.78/x
  3. Step 3: Cross multiply
    412,140.08x = 568,948.10 × 276,262.78
  4. Step 4: Simplify right side
    412,140.08x = 157,179,183,781.72
  5. Step 5: Solve for x
    x = 157,179,183,781.72/412,140.08
  6. Step 6: Final answer
    x = 381,373.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.