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Finding the Fourth Proportional to 272,609.60, 408,039.60 and 213,123.20

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Solution

The fourth proportional to 272,609.60, 408,039.60 and 213,123.20 is: 319,000.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,609.60 : 408,039.60 = 213,123.20 : x
  2. Step 2: Convert to fraction form
    272,609.60/408,039.60 = 213,123.20/x
  3. Step 3: Cross multiply
    272,609.60x = 408,039.60 × 213,123.20
  4. Step 4: Simplify right side
    272,609.60x = 86,962,705,278.72
  5. Step 5: Solve for x
    x = 86,962,705,278.72/272,609.60
  6. Step 6: Final answer
    x = 319,000.89

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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.