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Finding the Fourth Proportional to 420,703.74, 580,568.85 and 229,715.78

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Solution

The fourth proportional to 420,703.74, 580,568.85 and 229,715.78 is: 317,006.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,703.74 : 580,568.85 = 229,715.78 : x
  2. Step 2: Convert to fraction form
    420,703.74/580,568.85 = 229,715.78/x
  3. Step 3: Cross multiply
    420,703.74x = 580,568.85 × 229,715.78
  4. Step 4: Simplify right side
    420,703.74x = 133,365,823,318.61
  5. Step 5: Solve for x
    x = 133,365,823,318.61/420,703.74
  6. Step 6: Final answer
    x = 317,006.51

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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.