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Finding the Fourth Proportional to 542,838.87, 749,207.34 and 301,199.28

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Solution

The fourth proportional to 542,838.87, 749,207.34 and 301,199.28 is: 415,704.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,838.87 : 749,207.34 = 301,199.28 : x
  2. Step 2: Convert to fraction form
    542,838.87/749,207.34 = 301,199.28/x
  3. Step 3: Cross multiply
    542,838.87x = 749,207.34 × 301,199.28
  4. Step 4: Simplify right side
    542,838.87x = 225,660,711,378.72
  5. Step 5: Solve for x
    x = 225,660,711,378.72/542,838.87
  6. Step 6: Final answer
    x = 415,704.78

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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.