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Finding the Fourth Proportional to 284,026.78, 391,958.22 and 156,706.12

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Solution

The fourth proportional to 284,026.78, 391,958.22 and 156,706.12 is: 216,255.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,026.78 : 391,958.22 = 156,706.12 : x
  2. Step 2: Convert to fraction form
    284,026.78/391,958.22 = 156,706.12/x
  3. Step 3: Cross multiply
    284,026.78x = 391,958.22 × 156,706.12
  4. Step 4: Simplify right side
    284,026.78x = 61,422,251,858.31
  5. Step 5: Solve for x
    x = 61,422,251,858.31/284,026.78
  6. Step 6: Final answer
    x = 216,255.14

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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.