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Finding the Fourth Proportional to 299,139.60, 448,709.40 and 215,158.80

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Solution

The fourth proportional to 299,139.60, 448,709.40 and 215,158.80 is: 322,738.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,139.60 : 448,709.40 = 215,158.80 : x
  2. Step 2: Convert to fraction form
    299,139.60/448,709.40 = 215,158.80/x
  3. Step 3: Cross multiply
    299,139.60x = 448,709.40 × 215,158.80
  4. Step 4: Simplify right side
    299,139.60x = 96,543,776,052.72
  5. Step 5: Solve for x
    x = 96,543,776,052.72/299,139.60
  6. Step 6: Final answer
    x = 322,738.20

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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.