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Finding the Fourth Proportional to 283,472.52, 391,219.74 and 211,728.12

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Solution

The fourth proportional to 283,472.52, 391,219.74 and 211,728.12 is: 292,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,472.52 : 391,219.74 = 211,728.12 : x
  2. Step 2: Convert to fraction form
    283,472.52/391,219.74 = 211,728.12/x
  3. Step 3: Cross multiply
    283,472.52x = 391,219.74 × 211,728.12
  4. Step 4: Simplify right side
    283,472.52x = 82,832,220,057.09
  5. Step 5: Solve for x
    x = 82,832,220,057.09/283,472.52
  6. Step 6: Final answer
    x = 292,205.47

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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.