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Finding the Fourth Proportional to 465,302.70, 642,101.15 and 284,317.52

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Solution

The fourth proportional to 465,302.70, 642,101.15 and 284,317.52 is: 392,348.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,302.70 : 642,101.15 = 284,317.52 : x
  2. Step 2: Convert to fraction form
    465,302.70/642,101.15 = 284,317.52/x
  3. Step 3: Cross multiply
    465,302.70x = 642,101.15 × 284,317.52
  4. Step 4: Simplify right side
    465,302.70x = 182,560,605,063.70
  5. Step 5: Solve for x
    x = 182,560,605,063.70/465,302.70
  6. Step 6: Final answer
    x = 392,348.04

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1.5x scale

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.