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Finding the Fourth Proportional to 256,918.65, 385,819.01 and 157,661.65

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Solution

The fourth proportional to 256,918.65, 385,819.01 and 157,661.65 is: 236,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,918.65 : 385,819.01 = 157,661.65 : x
  2. Step 2: Convert to fraction form
    256,918.65/385,819.01 = 157,661.65/x
  3. Step 3: Cross multiply
    256,918.65x = 385,819.01 × 157,661.65
  4. Step 4: Simplify right side
    256,918.65x = 60,828,861,717.97
  5. Step 5: Solve for x
    x = 60,828,861,717.97/256,918.65
  6. Step 6: Final answer
    x = 236,763.12

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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.