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Finding the Fourth Proportional to 256,251.35, 384,377.01 and 76,339.50

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Solution

The fourth proportional to 256,251.35, 384,377.01 and 76,339.50 is: 114,509.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,251.35 : 384,377.01 = 76,339.50 : x
  2. Step 2: Convert to fraction form
    256,251.35/384,377.01 = 76,339.50/x
  3. Step 3: Cross multiply
    256,251.35x = 384,377.01 × 76,339.50
  4. Step 4: Simplify right side
    256,251.35x = 29,343,147,456.62
  5. Step 5: Solve for x
    x = 29,343,147,456.62/256,251.35
  6. Step 6: Final answer
    x = 114,509.24

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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.