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Finding the Fourth Proportional to 299,116.36, 448,506.42 and 99,329.80

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Solution

The fourth proportional to 299,116.36, 448,506.42 and 99,329.80 is: 148,938.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,116.36 : 448,506.42 = 99,329.80 : x
  2. Step 2: Convert to fraction form
    299,116.36/448,506.42 = 99,329.80/x
  3. Step 3: Cross multiply
    299,116.36x = 448,506.42 × 99,329.80
  4. Step 4: Simplify right side
    299,116.36x = 44,550,052,997.32
  5. Step 5: Solve for x
    x = 44,550,052,997.32/299,116.36
  6. Step 6: Final answer
    x = 148,938.87

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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.