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Finding the Fourth Proportional to 538,732.68, 808,099.01 and 511,793.88

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Solution

The fourth proportional to 538,732.68, 808,099.01 and 511,793.88 is: 767,690.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,732.68 : 808,099.01 = 511,793.88 : x
  2. Step 2: Convert to fraction form
    538,732.68/808,099.01 = 511,793.88/x
  3. Step 3: Cross multiply
    538,732.68x = 808,099.01 × 511,793.88
  4. Step 4: Simplify right side
    538,732.68x = 413,580,122,642.53
  5. Step 5: Solve for x
    x = 413,580,122,642.53/538,732.68
  6. Step 6: Final answer
    x = 767,690.81

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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.