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Finding the Fourth Proportional to 266,656.60, 400,203.60 and 257,908.60

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Solution

The fourth proportional to 266,656.60, 400,203.60 and 257,908.60 is: 387,074.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    266,656.60 : 400,203.60 = 257,908.60 : x
  2. Step 2: Convert to fraction form
    266,656.60/400,203.60 = 257,908.60/x
  3. Step 3: Cross multiply
    266,656.60x = 400,203.60 × 257,908.60
  4. Step 4: Simplify right side
    266,656.60x = 103,215,950,190.96
  5. Step 5: Solve for x
    x = 103,215,950,190.96/266,656.60
  6. Step 6: Final answer
    x = 387,074.43

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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.