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Finding the Fourth Proportional to 538,489.70, 807,772.95 and 164,512.10

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Solution

The fourth proportional to 538,489.70, 807,772.95 and 164,512.10 is: 246,779.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,489.70 : 807,772.95 = 164,512.10 : x
  2. Step 2: Convert to fraction form
    538,489.70/807,772.95 = 164,512.10/x
  3. Step 3: Cross multiply
    538,489.70x = 807,772.95 × 164,512.10
  4. Step 4: Simplify right side
    538,489.70x = 132,888,424,327.70
  5. Step 5: Solve for x
    x = 132,888,424,327.70/538,489.70
  6. Step 6: Final answer
    x = 246,779.88

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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.