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Finding the Fourth Proportional to 266,419.66, 399,369.75 and 106,447.90

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Solution

The fourth proportional to 266,419.66, 399,369.75 and 106,447.90 is: 159,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,419.66 : 399,369.75 = 106,447.90 : x
  2. Step 2: Convert to fraction form
    266,419.66/399,369.75 = 106,447.90/x
  3. Step 3: Cross multiply
    266,419.66x = 399,369.75 × 106,447.90
  4. Step 4: Simplify right side
    266,419.66x = 42,512,071,211.03
  5. Step 5: Solve for x
    x = 42,512,071,211.03/266,419.66
  6. Step 6: Final answer
    x = 159,568.07

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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.