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Finding the Fourth Proportional to 542,706.34, 748,959.75 and 300,974.51

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Solution

The fourth proportional to 542,706.34, 748,959.75 and 300,974.51 is: 415,358.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,706.34 : 748,959.75 = 300,974.51 : x
  2. Step 2: Convert to fraction form
    542,706.34/748,959.75 = 300,974.51/x
  3. Step 3: Cross multiply
    542,706.34x = 748,959.75 × 300,974.51
  4. Step 4: Simplify right side
    542,706.34x = 225,417,793,765.97
  5. Step 5: Solve for x
    x = 225,417,793,765.97/542,706.34
  6. Step 6: Final answer
    x = 415,358.69

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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.