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Finding the Fourth Proportional to 256,578.30, 384,595.29 and 98,738.46

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Solution

The fourth proportional to 256,578.30, 384,595.29 and 98,738.46 is: 148,002.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,578.30 : 384,595.29 = 98,738.46 : x
  2. Step 2: Convert to fraction form
    256,578.30/384,595.29 = 98,738.46/x
  3. Step 3: Cross multiply
    256,578.30x = 384,595.29 × 98,738.46
  4. Step 4: Simplify right side
    256,578.30x = 37,974,346,657.85
  5. Step 5: Solve for x
    x = 37,974,346,657.85/256,578.30
  6. Step 6: Final answer
    x = 148,002.96

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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.