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Finding the Fourth Proportional to 465,596.88, 642,521.07 and 284,283.65

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Solution

The fourth proportional to 465,596.88, 642,521.07 and 284,283.65 is: 392,309.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,596.88 : 642,521.07 = 284,283.65 : x
  2. Step 2: Convert to fraction form
    465,596.88/642,521.07 = 284,283.65/x
  3. Step 3: Cross multiply
    465,596.88x = 642,521.07 × 284,283.65
  4. Step 4: Simplify right side
    465,596.88x = 182,658,231,768.90
  5. Step 5: Solve for x
    x = 182,658,231,768.90/465,596.88
  6. Step 6: Final answer
    x = 392,309.83

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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.