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Finding the Fourth Proportional to 542,380.12, 748,434.23 and 300,642.13

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Solution

The fourth proportional to 542,380.12, 748,434.23 and 300,642.13 is: 414,858.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,380.12 : 748,434.23 = 300,642.13 : x
  2. Step 2: Convert to fraction form
    542,380.12/748,434.23 = 300,642.13/x
  3. Step 3: Cross multiply
    542,380.12x = 748,434.23 × 300,642.13
  4. Step 4: Simplify right side
    542,380.12x = 225,010,861,631.85
  5. Step 5: Solve for x
    x = 225,010,861,631.85/542,380.12
  6. Step 6: Final answer
    x = 414,858.24

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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.