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Finding the Fourth Proportional to 256,294.81, 384,375.75 and 76,338.19

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Solution

The fourth proportional to 256,294.81, 384,375.75 and 76,338.19 is: 114,487.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,294.81 : 384,375.75 = 76,338.19 : x
  2. Step 2: Convert to fraction form
    256,294.81/384,375.75 = 76,338.19/x
  3. Step 3: Cross multiply
    256,294.81x = 384,375.75 × 76,338.19
  4. Step 4: Simplify right side
    256,294.81x = 29,342,549,034.89
  5. Step 5: Solve for x
    x = 29,342,549,034.89/256,294.81
  6. Step 6: Final answer
    x = 114,487.49

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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.