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Finding the Fourth Proportional to 266,788.20, 400,643.10 and 142,372.20

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Solution

The fourth proportional to 266,788.20, 400,643.10 and 142,372.20 is: 213,804.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,788.20 : 400,643.10 = 142,372.20 : x
  2. Step 2: Convert to fraction form
    266,788.20/400,643.10 = 142,372.20/x
  3. Step 3: Cross multiply
    266,788.20x = 400,643.10 × 142,372.20
  4. Step 4: Simplify right side
    266,788.20x = 57,040,439,561.82
  5. Step 5: Solve for x
    x = 57,040,439,561.82/266,788.20
  6. Step 6: Final answer
    x = 213,804.21

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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.