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Finding the Fourth Proportional to 613,843.20, 847,234.32 and 412,522.56

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Solution

The fourth proportional to 613,843.20, 847,234.32 and 412,522.56 is: 569,368.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,843.20 : 847,234.32 = 412,522.56 : x
  2. Step 2: Convert to fraction form
    613,843.20/847,234.32 = 412,522.56/x
  3. Step 3: Cross multiply
    613,843.20x = 847,234.32 × 412,522.56
  4. Step 4: Simplify right side
    613,843.20x = 349,503,270,606.26
  5. Step 5: Solve for x
    x = 349,503,270,606.26/613,843.20
  6. Step 6: Final answer
    x = 569,368.97

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1.5x scale

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.