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Finding the Fourth Proportional to 349,272, 523,912.86 and 99,954

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Solution

The fourth proportional to 349,272, 523,912.86 and 99,954 is: 149,932.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,272 : 523,912.86 = 99,954 : x
  2. Step 2: Convert to fraction form
    349,272/523,912.86 = 99,954/x
  3. Step 3: Cross multiply
    349,272x = 523,912.86 × 99,954
  4. Step 4: Simplify right side
    349,272x = 52,367,186,008.44
  5. Step 5: Solve for x
    x = 52,367,186,008.44/349,272
  6. Step 6: Final answer
    x = 149,932.39

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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.