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Finding the Fourth Proportional to 284,016.78, 391,944.42 and 156,696.12

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Solution

The fourth proportional to 284,016.78, 391,944.42 and 156,696.12 is: 216,241.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,016.78 : 391,944.42 = 156,696.12 : x
  2. Step 2: Convert to fraction form
    284,016.78/391,944.42 = 156,696.12/x
  3. Step 3: Cross multiply
    284,016.78x = 391,944.42 × 156,696.12
  4. Step 4: Simplify right side
    284,016.78x = 61,416,169,869.65
  5. Step 5: Solve for x
    x = 61,416,169,869.65/284,016.78
  6. Step 6: Final answer
    x = 216,241.34

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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.