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Finding the Fourth Proportional to 409,281.12, 564,678 and 230,398.56

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Solution

The fourth proportional to 409,281.12, 564,678 and 230,398.56 is: 317,876.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,281.12 : 564,678 = 230,398.56 : x
  2. Step 2: Convert to fraction form
    409,281.12/564,678 = 230,398.56/x
  3. Step 3: Cross multiply
    409,281.12x = 564,678 × 230,398.56
  4. Step 4: Simplify right side
    409,281.12x = 130,100,998,063.68
  5. Step 5: Solve for x
    x = 130,100,998,063.68/409,281.12
  6. Step 6: Final answer
    x = 317,876.86

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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.