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Finding the Fourth Proportional to 609,209, 840,591.72 and 394,319.24

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Solution

The fourth proportional to 609,209, 840,591.72 and 394,319.24 is: 544,085.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,209 : 840,591.72 = 394,319.24 : x
  2. Step 2: Convert to fraction form
    609,209/840,591.72 = 394,319.24/x
  3. Step 3: Cross multiply
    609,209x = 840,591.72 × 394,319.24
  4. Step 4: Simplify right side
    609,209x = 331,461,488,180.69
  5. Step 5: Solve for x
    x = 331,461,488,180.69/609,209
  6. Step 6: Final answer
    x = 544,085.02

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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.