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Finding the Fourth Proportional to 266,816.40, 401,099.40 and 188,473.20

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Solution

The fourth proportional to 266,816.40, 401,099.40 and 188,473.20 is: 283,327.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,816.40 : 401,099.40 = 188,473.20 : x
  2. Step 2: Convert to fraction form
    266,816.40/401,099.40 = 188,473.20/x
  3. Step 3: Cross multiply
    266,816.40x = 401,099.40 × 188,473.20
  4. Step 4: Simplify right side
    266,816.40x = 75,596,487,436.08
  5. Step 5: Solve for x
    x = 75,596,487,436.08/266,816.40
  6. Step 6: Final answer
    x = 283,327.74

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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.