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Finding the Fourth Proportional to 403,511.80, 605,559.30 and 225,830.20

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Solution

The fourth proportional to 403,511.80, 605,559.30 and 225,830.20 is: 338,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,511.80 : 605,559.30 = 225,830.20 : x
  2. Step 2: Convert to fraction form
    403,511.80/605,559.30 = 225,830.20/x
  3. Step 3: Cross multiply
    403,511.80x = 605,559.30 × 225,830.20
  4. Step 4: Simplify right side
    403,511.80x = 136,753,577,830.86
  5. Step 5: Solve for x
    x = 136,753,577,830.86/403,511.80
  6. Step 6: Final answer
    x = 338,908.50

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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.