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Finding the Fourth Proportional to 299,942.30, 449,920.65 and 89,587.10

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Solution

The fourth proportional to 299,942.30, 449,920.65 and 89,587.10 is: 134,382.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,942.30 : 449,920.65 = 89,587.10 : x
  2. Step 2: Convert to fraction form
    299,942.30/449,920.65 = 89,587.10/x
  3. Step 3: Cross multiply
    299,942.30x = 449,920.65 × 89,587.10
  4. Step 4: Simplify right side
    299,942.30x = 40,307,086,263.62
  5. Step 5: Solve for x
    x = 40,307,086,263.62/299,942.30
  6. Step 6: Final answer
    x = 134,382.80

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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.