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Finding the Fourth Proportional to 299,123.40, 448,903.80 and 199,250.40

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Solution

The fourth proportional to 299,123.40, 448,903.80 and 199,250.40 is: 299,021.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,123.40 : 448,903.80 = 199,250.40 : x
  2. Step 2: Convert to fraction form
    299,123.40/448,903.80 = 199,250.40/x
  3. Step 3: Cross multiply
    299,123.40x = 448,903.80 × 199,250.40
  4. Step 4: Simplify right side
    299,123.40x = 89,444,261,711.52
  5. Step 5: Solve for x
    x = 89,444,261,711.52/299,123.40
  6. Step 6: Final answer
    x = 299,021.28

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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.