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Finding the Fourth Proportional to 256,678.65, 385,044.37 and 96,889.17

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Solution

The fourth proportional to 256,678.65, 385,044.37 and 96,889.17 is: 145,343.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,678.65 : 385,044.37 = 96,889.17 : x
  2. Step 2: Convert to fraction form
    256,678.65/385,044.37 = 96,889.17/x
  3. Step 3: Cross multiply
    256,678.65x = 385,044.37 × 96,889.17
  4. Step 4: Simplify right side
    256,678.65x = 37,306,630,624.17
  5. Step 5: Solve for x
    x = 37,306,630,624.17/256,678.65
  6. Step 6: Final answer
    x = 145,343.72

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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.