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Finding the Fourth Proportional to 361,246.10, 542,387.55 and 203,782.10

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Solution

The fourth proportional to 361,246.10, 542,387.55 and 203,782.10 is: 305,965.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,246.10 : 542,387.55 = 203,782.10 : x
  2. Step 2: Convert to fraction form
    361,246.10/542,387.55 = 203,782.10/x
  3. Step 3: Cross multiply
    361,246.10x = 542,387.55 × 203,782.10
  4. Step 4: Simplify right side
    361,246.10x = 110,528,873,952.86
  5. Step 5: Solve for x
    x = 110,528,873,952.86/361,246.10
  6. Step 6: Final answer
    x = 305,965.58

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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.