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Finding the Fourth Proportional to 283,745.32, 391,571.16 and 156,425.46

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Solution

The fourth proportional to 283,745.32, 391,571.16 and 156,425.46 is: 215,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,745.32 : 391,571.16 = 156,425.46 : x
  2. Step 2: Convert to fraction form
    283,745.32/391,571.16 = 156,425.46/x
  3. Step 3: Cross multiply
    283,745.32x = 391,571.16 × 156,425.46
  4. Step 4: Simplify right side
    283,745.32x = 61,251,698,825.73
  5. Step 5: Solve for x
    x = 61,251,698,825.73/283,745.32
  6. Step 6: Final answer
    x = 215,868.58

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1.5x scale

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.