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Finding the Fourth Proportional to 361,657.02, 542,660.49 and 221,339.10

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Solution

The fourth proportional to 361,657.02, 542,660.49 and 221,339.10 is: 332,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,657.02 : 542,660.49 = 221,339.10 : x
  2. Step 2: Convert to fraction form
    361,657.02/542,660.49 = 221,339.10/x
  3. Step 3: Cross multiply
    361,657.02x = 542,660.49 × 221,339.10
  4. Step 4: Simplify right side
    361,657.02x = 120,111,984,462.16
  5. Step 5: Solve for x
    x = 120,111,984,462.16/361,657.02
  6. Step 6: Final answer
    x = 332,115.73

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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.