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Finding the Fourth Proportional to 256,670.70, 385,071.66 and 98,856.78

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Solution

The fourth proportional to 256,670.70, 385,071.66 and 98,856.78 is: 148,310.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,670.70 : 385,071.66 = 98,856.78 : x
  2. Step 2: Convert to fraction form
    256,670.70/385,071.66 = 98,856.78/x
  3. Step 3: Cross multiply
    256,670.70x = 385,071.66 × 98,856.78
  4. Step 4: Simplify right side
    256,670.70x = 38,066,944,376.85
  5. Step 5: Solve for x
    x = 38,066,944,376.85/256,670.70
  6. Step 6: Final answer
    x = 148,310.44

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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.