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Finding the Fourth Proportional to 361,350.78, 542,211.21 and 172,025.34

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Solution

The fourth proportional to 361,350.78, 542,211.21 and 172,025.34 is: 258,126.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,350.78 : 542,211.21 = 172,025.34 : x
  2. Step 2: Convert to fraction form
    361,350.78/542,211.21 = 172,025.34/x
  3. Step 3: Cross multiply
    361,350.78x = 542,211.21 × 172,025.34
  4. Step 4: Simplify right side
    361,350.78x = 93,274,067,752.06
  5. Step 5: Solve for x
    x = 93,274,067,752.06/361,350.78
  6. Step 6: Final answer
    x = 258,126.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.