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Finding the Fourth Proportional to 283,418.19, 391,099.16 and 156,093.78

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Solution

The fourth proportional to 283,418.19, 391,099.16 and 156,093.78 is: 215,399.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,418.19 : 391,099.16 = 156,093.78 : x
  2. Step 2: Convert to fraction form
    283,418.19/391,099.16 = 156,093.78/x
  3. Step 3: Cross multiply
    283,418.19x = 391,099.16 × 156,093.78
  4. Step 4: Simplify right side
    283,418.19x = 61,048,145,458.76
  5. Step 5: Solve for x
    x = 61,048,145,458.76/283,418.19
  6. Step 6: Final answer
    x = 215,399.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.