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Finding the Fourth Proportional to 542,653, 748,861.14 and 304,189

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Solution

The fourth proportional to 542,653, 748,861.14 and 304,189 is: 419,780.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,653 : 748,861.14 = 304,189 : x
  2. Step 2: Convert to fraction form
    542,653/748,861.14 = 304,189/x
  3. Step 3: Cross multiply
    542,653x = 748,861.14 × 304,189
  4. Step 4: Simplify right side
    542,653x = 227,795,321,315.46
  5. Step 5: Solve for x
    x = 227,795,321,315.46/542,653
  6. Step 6: Final answer
    x = 419,780.82

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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.