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Finding the Fourth Proportional to 266,142.40, 399,214.08 and 177,568.96

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Solution

The fourth proportional to 266,142.40, 399,214.08 and 177,568.96 is: 266,353.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,142.40 : 399,214.08 = 177,568.96 : x
  2. Step 2: Convert to fraction form
    266,142.40/399,214.08 = 177,568.96/x
  3. Step 3: Cross multiply
    266,142.40x = 399,214.08 × 177,568.96
  4. Step 4: Simplify right side
    266,142.40x = 70,888,029,002.96
  5. Step 5: Solve for x
    x = 70,888,029,002.96/266,142.40
  6. Step 6: Final answer
    x = 266,353.76

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1.5x scale

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.