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Finding the Fourth Proportional to 306,769.65, 459,940.92 and 135,898.59

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Solution

The fourth proportional to 306,769.65, 459,940.92 and 135,898.59 is: 203,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,769.65 : 459,940.92 = 135,898.59 : x
  2. Step 2: Convert to fraction form
    306,769.65/459,940.92 = 135,898.59/x
  3. Step 3: Cross multiply
    306,769.65x = 459,940.92 × 135,898.59
  4. Step 4: Simplify right side
    306,769.65x = 62,505,323,726.46
  5. Step 5: Solve for x
    x = 62,505,323,726.46/306,769.65
  6. Step 6: Final answer
    x = 203,753.29

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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.