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Finding the Fourth Proportional to 489,312.30, 733,093.65 and 400,082.70

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Solution

The fourth proportional to 489,312.30, 733,093.65 and 400,082.70 is: 599,408.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,312.30 : 733,093.65 = 400,082.70 : x
  2. Step 2: Convert to fraction form
    489,312.30/733,093.65 = 400,082.70/x
  3. Step 3: Cross multiply
    489,312.30x = 733,093.65 × 400,082.70
  4. Step 4: Simplify right side
    489,312.30x = 293,298,086,844.86
  5. Step 5: Solve for x
    x = 293,298,086,844.86/489,312.30
  6. Step 6: Final answer
    x = 599,408.78

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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.