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Finding the Fourth Proportional to 361,403.70, 542,105.55 and 193,442.10

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Solution

The fourth proportional to 361,403.70, 542,105.55 and 193,442.10 is: 290,163.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,403.70 : 542,105.55 = 193,442.10 : x
  2. Step 2: Convert to fraction form
    361,403.70/542,105.55 = 193,442.10/x
  3. Step 3: Cross multiply
    361,403.70x = 542,105.55 × 193,442.10
  4. Step 4: Simplify right side
    361,403.70x = 104,866,036,013.66
  5. Step 5: Solve for x
    x = 104,866,036,013.66/361,403.70
  6. Step 6: Final answer
    x = 290,163.15

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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.