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Finding the Fourth Proportional to 538,121.76, 807,180.40 and 164,143.52

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Solution

The fourth proportional to 538,121.76, 807,180.40 and 164,143.52 is: 246,214.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,121.76 : 807,180.40 = 164,143.52 : x
  2. Step 2: Convert to fraction form
    538,121.76/807,180.40 = 164,143.52/x
  3. Step 3: Cross multiply
    538,121.76x = 807,180.40 × 164,143.52
  4. Step 4: Simplify right side
    538,121.76x = 132,493,432,131.01
  5. Step 5: Solve for x
    x = 132,493,432,131.01/538,121.76
  6. Step 6: Final answer
    x = 246,214.60

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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.