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Finding the Fourth Proportional to 299,432.40, 449,213.40 and 89,091.60

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Solution

The fourth proportional to 299,432.40, 449,213.40 and 89,091.60 is: 133,656.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,432.40 : 449,213.40 = 89,091.60 : x
  2. Step 2: Convert to fraction form
    299,432.40/449,213.40 = 89,091.60/x
  3. Step 3: Cross multiply
    299,432.40x = 449,213.40 × 89,091.60
  4. Step 4: Simplify right side
    299,432.40x = 40,021,140,547.44
  5. Step 5: Solve for x
    x = 40,021,140,547.44/299,432.40
  6. Step 6: Final answer
    x = 133,656.68

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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.