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Finding the Fourth Proportional to 266,998.55, 400,774.76 and 178,867.91

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Solution

The fourth proportional to 266,998.55, 400,774.76 and 178,867.91 is: 268,487.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,998.55 : 400,774.76 = 178,867.91 : x
  2. Step 2: Convert to fraction form
    266,998.55/400,774.76 = 178,867.91/x
  3. Step 3: Cross multiply
    266,998.55x = 400,774.76 × 178,867.91
  4. Step 4: Simplify right side
    266,998.55x = 71,685,740,803.74
  5. Step 5: Solve for x
    x = 71,685,740,803.74/266,998.55
  6. Step 6: Final answer
    x = 268,487.38

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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.