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Finding the Fourth Proportional to 272,543.70, 408,815.55 and 213,429.90

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Solution

The fourth proportional to 272,543.70, 408,815.55 and 213,429.90 is: 320,144.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,543.70 : 408,815.55 = 213,429.90 : x
  2. Step 2: Convert to fraction form
    272,543.70/408,815.55 = 213,429.90/x
  3. Step 3: Cross multiply
    272,543.70x = 408,815.55 × 213,429.90
  4. Step 4: Simplify right side
    272,543.70x = 87,253,461,954.95
  5. Step 5: Solve for x
    x = 87,253,461,954.95/272,543.70
  6. Step 6: Final answer
    x = 320,144.85

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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.