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Finding the Fourth Proportional to 284,053.56, 391,993.63 and 156,729.16

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Solution

The fourth proportional to 284,053.56, 391,993.63 and 156,729.16 is: 216,286.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,053.56 : 391,993.63 = 156,729.16 : x
  2. Step 2: Convert to fraction form
    284,053.56/391,993.63 = 156,729.16/x
  3. Step 3: Cross multiply
    284,053.56x = 391,993.63 × 156,729.16
  4. Step 4: Simplify right side
    284,053.56x = 61,436,832,355.25
  5. Step 5: Solve for x
    x = 61,436,832,355.25/284,053.56
  6. Step 6: Final answer
    x = 216,286.08

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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.