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Finding the Fourth Proportional to 283,355, 391,029.90 and 156,030.30

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Solution

The fourth proportional to 283,355, 391,029.90 and 156,030.30 is: 215,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,355 : 391,029.90 = 156,030.30 : x
  2. Step 2: Convert to fraction form
    283,355/391,029.90 = 156,030.30/x
  3. Step 3: Cross multiply
    283,355x = 391,029.90 × 156,030.30
  4. Step 4: Simplify right side
    283,355x = 61,012,512,605.97
  5. Step 5: Solve for x
    x = 61,012,512,605.97/283,355
  6. Step 6: Final answer
    x = 215,321.81

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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.