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Finding the Fourth Proportional to 299,202.30, 448,753.50 and 99,543.78

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Solution

The fourth proportional to 299,202.30, 448,753.50 and 99,543.78 is: 149,299.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,202.30 : 448,753.50 = 99,543.78 : x
  2. Step 2: Convert to fraction form
    299,202.30/448,753.50 = 99,543.78/x
  3. Step 3: Cross multiply
    299,202.30x = 448,753.50 × 99,543.78
  4. Step 4: Simplify right side
    299,202.30x = 44,670,619,678.23
  5. Step 5: Solve for x
    x = 44,670,619,678.23/299,202.30
  6. Step 6: Final answer
    x = 149,299.05

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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.