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Finding the Fourth Proportional to 542,562, 748,744.56 and 300,854.76

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Solution

The fourth proportional to 542,562, 748,744.56 and 300,854.76 is: 415,184.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,562 : 748,744.56 = 300,854.76 : x
  2. Step 2: Convert to fraction form
    542,562/748,744.56 = 300,854.76/x
  3. Step 3: Cross multiply
    542,562x = 748,744.56 × 300,854.76
  4. Step 4: Simplify right side
    542,562x = 225,263,364,900.11
  5. Step 5: Solve for x
    x = 225,263,364,900.11/542,562
  6. Step 6: Final answer
    x = 415,184.56

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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.