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Finding the Fourth Proportional to 256,001.50, 383,987.85 and 78,508.03

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Solution

The fourth proportional to 256,001.50, 383,987.85 and 78,508.03 is: 117,757.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,001.50 : 383,987.85 = 78,508.03 : x
  2. Step 2: Convert to fraction form
    256,001.50/383,987.85 = 78,508.03/x
  3. Step 3: Cross multiply
    256,001.50x = 383,987.85 × 78,508.03
  4. Step 4: Simplify right side
    256,001.50x = 30,146,129,647.44
  5. Step 5: Solve for x
    x = 30,146,129,647.44/256,001.50
  6. Step 6: Final answer
    x = 117,757.63

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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.