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Finding the Fourth Proportional to 299,311.20, 448,966.80 and 99,638.10

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Solution

The fourth proportional to 299,311.20, 448,966.80 and 99,638.10 is: 149,457.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,311.20 : 448,966.80 = 99,638.10 : x
  2. Step 2: Convert to fraction form
    299,311.20/448,966.80 = 99,638.10/x
  3. Step 3: Cross multiply
    299,311.20x = 448,966.80 × 99,638.10
  4. Step 4: Simplify right side
    299,311.20x = 44,734,198,915.08
  5. Step 5: Solve for x
    x = 44,734,198,915.08/299,311.20
  6. Step 6: Final answer
    x = 149,457.15

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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.