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Finding the Fourth Proportional to 389,881.76, 538,006.80 and 220,132.64

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Solution

The fourth proportional to 389,881.76, 538,006.80 and 220,132.64 is: 303,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,881.76 : 538,006.80 = 220,132.64 : x
  2. Step 2: Convert to fraction form
    389,881.76/538,006.80 = 220,132.64/x
  3. Step 3: Cross multiply
    389,881.76x = 538,006.80 × 220,132.64
  4. Step 4: Simplify right side
    389,881.76x = 118,432,857,221.95
  5. Step 5: Solve for x
    x = 118,432,857,221.95/389,881.76
  6. Step 6: Final answer
    x = 303,766.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.