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Finding the Fourth Proportional to 569,299.62, 785,635.90 and 311,181.78

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Solution

The fourth proportional to 569,299.62, 785,635.90 and 311,181.78 is: 429,432.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,299.62 : 785,635.90 = 311,181.78 : x
  2. Step 2: Convert to fraction form
    569,299.62/785,635.90 = 311,181.78/x
  3. Step 3: Cross multiply
    569,299.62x = 785,635.90 × 311,181.78
  4. Step 4: Simplify right side
    569,299.62x = 244,475,577,793.90
  5. Step 5: Solve for x
    x = 244,475,577,793.90/569,299.62
  6. Step 6: Final answer
    x = 429,432.18

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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.