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Finding the Fourth Proportional to 283,462, 391,177.56 and 156,137.20

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Solution

The fourth proportional to 283,462, 391,177.56 and 156,137.20 is: 215,469.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,462 : 391,177.56 = 156,137.20 : x
  2. Step 2: Convert to fraction form
    283,462/391,177.56 = 156,137.20/x
  3. Step 3: Cross multiply
    283,462x = 391,177.56 × 156,137.20
  4. Step 4: Simplify right side
    283,462x = 61,077,368,921.23
  5. Step 5: Solve for x
    x = 61,077,368,921.23/283,462
  6. Step 6: Final answer
    x = 215,469.34

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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.