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Finding the Fourth Proportional to 299,482.30, 449,114.10 and 99,809.20

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Solution

The fourth proportional to 299,482.30, 449,114.10 and 99,809.20 is: 149,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,482.30 : 449,114.10 = 99,809.20 : x
  2. Step 2: Convert to fraction form
    299,482.30/449,114.10 = 99,809.20/x
  3. Step 3: Cross multiply
    299,482.30x = 449,114.10 × 99,809.20
  4. Step 4: Simplify right side
    299,482.30x = 44,825,719,029.72
  5. Step 5: Solve for x
    x = 44,825,719,029.72/299,482.30
  6. Step 6: Final answer
    x = 149,677.36

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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.