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Finding the Fourth Proportional to 391,205.29, 586,046.53 and 288,435.43

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Solution

The fourth proportional to 391,205.29, 586,046.53 and 288,435.43 is: 432,091.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,205.29 : 586,046.53 = 288,435.43 : x
  2. Step 2: Convert to fraction form
    391,205.29/586,046.53 = 288,435.43/x
  3. Step 3: Cross multiply
    391,205.29x = 586,046.53 × 288,435.43
  4. Step 4: Simplify right side
    391,205.29x = 169,036,580,694.35
  5. Step 5: Solve for x
    x = 169,036,580,694.35/391,205.29
  6. Step 6: Final answer
    x = 432,091.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.