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Finding the Fourth Proportional to 542,674, 748,890.12 and 300,993.58

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Solution

The fourth proportional to 542,674, 748,890.12 and 300,993.58 is: 415,371.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,674 : 748,890.12 = 300,993.58 : x
  2. Step 2: Convert to fraction form
    542,674/748,890.12 = 300,993.58/x
  3. Step 3: Cross multiply
    542,674x = 748,890.12 × 300,993.58
  4. Step 4: Simplify right side
    542,674x = 225,411,118,245.43
  5. Step 5: Solve for x
    x = 225,411,118,245.43/542,674
  6. Step 6: Final answer
    x = 415,371.14

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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.