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Finding the Fourth Proportional to 542,650, 748,857 and 304,186

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Solution

The fourth proportional to 542,650, 748,857 and 304,186 is: 419,776.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,650 : 748,857 = 304,186 : x
  2. Step 2: Convert to fraction form
    542,650/748,857 = 304,186/x
  3. Step 3: Cross multiply
    542,650x = 748,857 × 304,186
  4. Step 4: Simplify right side
    542,650x = 227,791,815,402
  5. Step 5: Solve for x
    x = 227,791,815,402/542,650
  6. Step 6: Final answer
    x = 419,776.68

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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.