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Finding the Fourth Proportional to 299,107.86, 448,493.67 and 99,321.30

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Solution

The fourth proportional to 299,107.86, 448,493.67 and 99,321.30 is: 148,926.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,107.86 : 448,493.67 = 99,321.30 : x
  2. Step 2: Convert to fraction form
    299,107.86/448,493.67 = 99,321.30/x
  3. Step 3: Cross multiply
    299,107.86x = 448,493.67 × 99,321.30
  4. Step 4: Simplify right side
    299,107.86x = 44,544,974,346.17
  5. Step 5: Solve for x
    x = 44,544,974,346.17/299,107.86
  6. Step 6: Final answer
    x = 148,926.12

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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.