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Finding the Fourth Proportional to 283,415.84, 391,131.56 and 156,091.40

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Solution

The fourth proportional to 283,415.84, 391,131.56 and 156,091.40 is: 215,415.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,415.84 : 391,131.56 = 156,091.40 : x
  2. Step 2: Convert to fraction form
    283,415.84/391,131.56 = 156,091.40/x
  3. Step 3: Cross multiply
    283,415.84x = 391,131.56 × 156,091.40
  4. Step 4: Simplify right side
    283,415.84x = 61,052,272,784.58
  5. Step 5: Solve for x
    x = 61,052,272,784.58/283,415.84
  6. Step 6: Final answer
    x = 215,415.88

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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.