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Finding the Fourth Proportional to 412,793.40, 569,817.10 and 276,777.78

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Solution

The fourth proportional to 412,793.40, 569,817.10 and 276,777.78 is: 382,062.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,793.40 : 569,817.10 = 276,777.78 : x
  2. Step 2: Convert to fraction form
    412,793.40/569,817.10 = 276,777.78/x
  3. Step 3: Cross multiply
    412,793.40x = 569,817.10 × 276,777.78
  4. Step 4: Simplify right side
    412,793.40x = 157,712,711,944.04
  5. Step 5: Solve for x
    x = 157,712,711,944.04/412,793.40
  6. Step 6: Final answer
    x = 382,062.10

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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.