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Finding the Fourth Proportional to 542,722.95, 749,002.41 and 301,083.30

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Solution

The fourth proportional to 542,722.95, 749,002.41 and 301,083.30 is: 415,519.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,722.95 : 749,002.41 = 301,083.30 : x
  2. Step 2: Convert to fraction form
    542,722.95/749,002.41 = 301,083.30/x
  3. Step 3: Cross multiply
    542,722.95x = 749,002.41 × 301,083.30
  4. Step 4: Simplify right side
    542,722.95x = 225,512,117,310.75
  5. Step 5: Solve for x
    x = 225,512,117,310.75/542,722.95
  6. Step 6: Final answer
    x = 415,519.77

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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.