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Finding the Fourth Proportional to 609,208, 840,590.34 and 394,318.24

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Solution

The fourth proportional to 609,208, 840,590.34 and 394,318.24 is: 544,083.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,208 : 840,590.34 = 394,318.24 : x
  2. Step 2: Convert to fraction form
    609,208/840,590.34 = 394,318.24/x
  3. Step 3: Cross multiply
    609,208x = 840,590.34 × 394,318.24
  4. Step 4: Simplify right side
    609,208x = 331,460,103,429.80
  5. Step 5: Solve for x
    x = 331,460,103,429.80/609,208
  6. Step 6: Final answer
    x = 544,083.64

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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.