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Finding the Fourth Proportional to 363,681.20, 545,521.80 and 206,217.20

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Solution

The fourth proportional to 363,681.20, 545,521.80 and 206,217.20 is: 309,325.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,681.20 : 545,521.80 = 206,217.20 : x
  2. Step 2: Convert to fraction form
    363,681.20/545,521.80 = 206,217.20/x
  3. Step 3: Cross multiply
    363,681.20x = 545,521.80 × 206,217.20
  4. Step 4: Simplify right side
    363,681.20x = 112,495,978,134.96
  5. Step 5: Solve for x
    x = 112,495,978,134.96/363,681.20
  6. Step 6: Final answer
    x = 309,325.80

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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.