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Finding the Fourth Proportional to 299,077.54, 448,701.05 and 121,711.84

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Solution

The fourth proportional to 299,077.54, 448,701.05 and 121,711.84 is: 182,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,077.54 : 448,701.05 = 121,711.84 : x
  2. Step 2: Convert to fraction form
    299,077.54/448,701.05 = 121,711.84/x
  3. Step 3: Cross multiply
    299,077.54x = 448,701.05 × 121,711.84
  4. Step 4: Simplify right side
    299,077.54x = 54,612,229,587.96
  5. Step 5: Solve for x
    x = 54,612,229,587.96/299,077.54
  6. Step 6: Final answer
    x = 182,602.24

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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.