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Finding the Fourth Proportional to 299,111.10, 448,666.65 and 199,578.30

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Solution

The fourth proportional to 299,111.10, 448,666.65 and 199,578.30 is: 299,367.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,111.10 : 448,666.65 = 199,578.30 : x
  2. Step 2: Convert to fraction form
    299,111.10/448,666.65 = 199,578.30/x
  3. Step 3: Cross multiply
    299,111.10x = 448,666.65 × 199,578.30
  4. Step 4: Simplify right side
    299,111.10x = 89,544,127,273.70
  5. Step 5: Solve for x
    x = 89,544,127,273.70/299,111.10
  6. Step 6: Final answer
    x = 299,367.45

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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.