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Finding the Fourth Proportional to 435,205.71, 600,429.92 and 284,390.19

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Solution

The fourth proportional to 435,205.71, 600,429.92 and 284,390.19 is: 392,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,205.71 : 600,429.92 = 284,390.19 : x
  2. Step 2: Convert to fraction form
    435,205.71/600,429.92 = 284,390.19/x
  3. Step 3: Cross multiply
    435,205.71x = 600,429.92 × 284,390.19
  4. Step 4: Simplify right side
    435,205.71x = 170,756,377,608.53
  5. Step 5: Solve for x
    x = 170,756,377,608.53/435,205.71
  6. Step 6: Final answer
    x = 392,357.85

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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.