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Finding the Fourth Proportional to 283,452, 391,163.76 and 156,127.20

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Solution

The fourth proportional to 283,452, 391,163.76 and 156,127.20 is: 215,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,452 : 391,163.76 = 156,127.20 : x
  2. Step 2: Convert to fraction form
    283,452/391,163.76 = 156,127.20/x
  3. Step 3: Cross multiply
    283,452x = 391,163.76 × 156,127.20
  4. Step 4: Simplify right side
    283,452x = 61,071,302,590.27
  5. Step 5: Solve for x
    x = 61,071,302,590.27/283,452
  6. Step 6: Final answer
    x = 215,455.54

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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.