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Finding the Fourth Proportional to 409,856, 565,605.60 and 231,008

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Solution

The fourth proportional to 409,856, 565,605.60 and 231,008 is: 318,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,856 : 565,605.60 = 231,008 : x
  2. Step 2: Convert to fraction form
    409,856/565,605.60 = 231,008/x
  3. Step 3: Cross multiply
    409,856x = 565,605.60 × 231,008
  4. Step 4: Simplify right side
    409,856x = 130,659,418,444.80
  5. Step 5: Solve for x
    x = 130,659,418,444.80/409,856
  6. Step 6: Final answer
    x = 318,793.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.