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Finding the Fourth Proportional to 609,187.24, 913,878.78 and 209,729.80

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Solution

The fourth proportional to 609,187.24, 913,878.78 and 209,729.80 is: 314,628.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,187.24 : 913,878.78 = 209,729.80 : x
  2. Step 2: Convert to fraction form
    609,187.24/913,878.78 = 209,729.80/x
  3. Step 3: Cross multiply
    609,187.24x = 913,878.78 × 209,729.80
  4. Step 4: Simplify right side
    609,187.24x = 191,667,613,753.64
  5. Step 5: Solve for x
    x = 191,667,613,753.64/609,187.24
  6. Step 6: Final answer
    x = 314,628.41

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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.