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Finding the Fourth Proportional to 299,140.72, 448,336.87 and 149,422.79

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Solution

The fourth proportional to 299,140.72, 448,336.87 and 149,422.79 is: 223,947.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,140.72 : 448,336.87 = 149,422.79 : x
  2. Step 2: Convert to fraction form
    299,140.72/448,336.87 = 149,422.79/x
  3. Step 3: Cross multiply
    299,140.72x = 448,336.87 × 149,422.79
  4. Step 4: Simplify right side
    299,140.72x = 66,991,746,722.55
  5. Step 5: Solve for x
    x = 66,991,746,722.55/299,140.72
  6. Step 6: Final answer
    x = 223,947.27

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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.