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Finding the Fourth Proportional to 609,034, 840,468.78 and 337,120.78

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Solution

The fourth proportional to 609,034, 840,468.78 and 337,120.78 is: 465,227.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,034 : 840,468.78 = 337,120.78 : x
  2. Step 2: Convert to fraction form
    609,034/840,468.78 = 337,120.78/x
  3. Step 3: Cross multiply
    609,034x = 840,468.78 × 337,120.78
  4. Step 4: Simplify right side
    609,034x = 283,339,490,679.25
  5. Step 5: Solve for x
    x = 283,339,490,679.25/609,034
  6. Step 6: Final answer
    x = 465,227.71

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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.