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Finding the Fourth Proportional to 299,275.80, 448,976.10 and 99,658.20

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Solution

The fourth proportional to 299,275.80, 448,976.10 and 99,658.20 is: 149,508.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,275.80 : 448,976.10 = 99,658.20 : x
  2. Step 2: Convert to fraction form
    299,275.80/448,976.10 = 99,658.20/x
  3. Step 3: Cross multiply
    299,275.80x = 448,976.10 × 99,658.20
  4. Step 4: Simplify right side
    299,275.80x = 44,744,149,969.02
  5. Step 5: Solve for x
    x = 44,744,149,969.02/299,275.80
  6. Step 6: Final answer
    x = 149,508.08

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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.