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Finding the Fourth Proportional to 299,160.40, 448,959.30 and 199,287.40

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Solution

The fourth proportional to 299,160.40, 448,959.30 and 199,287.40 is: 299,076.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,160.40 : 448,959.30 = 199,287.40 : x
  2. Step 2: Convert to fraction form
    299,160.40/448,959.30 = 199,287.40/x
  3. Step 3: Cross multiply
    299,160.40x = 448,959.30 × 199,287.40
  4. Step 4: Simplify right side
    299,160.40x = 89,471,931,602.82
  5. Step 5: Solve for x
    x = 89,471,931,602.82/299,160.40
  6. Step 6: Final answer
    x = 299,076.79

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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.