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Finding the Fourth Proportional to 256,842.99, 385,100.46 and 123,457.86

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Solution

The fourth proportional to 256,842.99, 385,100.46 and 123,457.86 is: 185,107.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,842.99 : 385,100.46 = 123,457.86 : x
  2. Step 2: Convert to fraction form
    256,842.99/385,100.46 = 123,457.86/x
  3. Step 3: Cross multiply
    256,842.99x = 385,100.46 × 123,457.86
  4. Step 4: Simplify right side
    256,842.99x = 47,543,678,676.62
  5. Step 5: Solve for x
    x = 47,543,678,676.62/256,842.99
  6. Step 6: Final answer
    x = 185,107.95

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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.