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Finding the Fourth Proportional to 256,291.22, 384,473.59 and 78,813.14

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Solution

The fourth proportional to 256,291.22, 384,473.59 and 78,813.14 is: 118,231.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,291.22 : 384,473.59 = 78,813.14 : x
  2. Step 2: Convert to fraction form
    256,291.22/384,473.59 = 78,813.14/x
  3. Step 3: Cross multiply
    256,291.22x = 384,473.59 × 78,813.14
  4. Step 4: Simplify right side
    256,291.22x = 30,301,568,755.57
  5. Step 5: Solve for x
    x = 30,301,568,755.57/256,291.22
  6. Step 6: Final answer
    x = 118,231.00

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.