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Finding the Fourth Proportional to 230,306.31, 345,471.84 and 72,547.11

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Solution

The fourth proportional to 230,306.31, 345,471.84 and 72,547.11 is: 108,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,306.31 : 345,471.84 = 72,547.11 : x
  2. Step 2: Convert to fraction form
    230,306.31/345,471.84 = 72,547.11/x
  3. Step 3: Cross multiply
    230,306.31x = 345,471.84 × 72,547.11
  4. Step 4: Simplify right side
    230,306.31x = 25,062,983,578.38
  5. Step 5: Solve for x
    x = 25,062,983,578.38/230,306.31
  6. Step 6: Final answer
    x = 108,824.56

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1.5x scale

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.