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Finding the Fourth Proportional to 310,082.40, 465,123.60 and 298,272.60

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Solution

The fourth proportional to 310,082.40, 465,123.60 and 298,272.60 is: 447,408.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,082.40 : 465,123.60 = 298,272.60 : x
  2. Step 2: Convert to fraction form
    310,082.40/465,123.60 = 298,272.60/x
  3. Step 3: Cross multiply
    310,082.40x = 465,123.60 × 298,272.60
  4. Step 4: Simplify right side
    310,082.40x = 138,733,625,493.36
  5. Step 5: Solve for x
    x = 138,733,625,493.36/310,082.40
  6. Step 6: Final answer
    x = 447,408.90

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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.