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Finding the Fourth Proportional to 299,144.80, 448,112.40 and 186,479.20

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Solution

The fourth proportional to 299,144.80, 448,112.40 and 186,479.20 is: 279,341.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,144.80 : 448,112.40 = 186,479.20 : x
  2. Step 2: Convert to fraction form
    299,144.80/448,112.40 = 186,479.20/x
  3. Step 3: Cross multiply
    299,144.80x = 448,112.40 × 186,479.20
  4. Step 4: Simplify right side
    299,144.80x = 83,563,641,862.08
  5. Step 5: Solve for x
    x = 83,563,641,862.08/299,144.80
  6. Step 6: Final answer
    x = 279,341.78

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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.