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Finding the Fourth Proportional to 299,238.80, 448,470.42 and 121,539.40

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Solution

The fourth proportional to 299,238.80, 448,470.42 and 121,539.40 is: 182,151.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,238.80 : 448,470.42 = 121,539.40 : x
  2. Step 2: Convert to fraction form
    299,238.80/448,470.42 = 121,539.40/x
  3. Step 3: Cross multiply
    299,238.80x = 448,470.42 × 121,539.40
  4. Step 4: Simplify right side
    299,238.80x = 54,506,825,764.55
  5. Step 5: Solve for x
    x = 54,506,825,764.55/299,238.80
  6. Step 6: Final answer
    x = 182,151.60

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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.