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Finding the Fourth Proportional to 266,882.96, 400,307.16 and 100,666.64

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Solution

The fourth proportional to 266,882.96, 400,307.16 and 100,666.64 is: 150,993.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,882.96 : 400,307.16 = 100,666.64 : x
  2. Step 2: Convert to fraction form
    266,882.96/400,307.16 = 100,666.64/x
  3. Step 3: Cross multiply
    266,882.96x = 400,307.16 × 100,666.64
  4. Step 4: Simplify right side
    266,882.96x = 40,297,576,765.14
  5. Step 5: Solve for x
    x = 40,297,576,765.14/266,882.96
  6. Step 6: Final answer
    x = 150,993.44

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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.