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Finding the Fourth Proportional to 609,202, 840,582.06 and 394,312.24

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Solution

The fourth proportional to 609,202, 840,582.06 and 394,312.24 is: 544,075.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,202 : 840,582.06 = 394,312.24 : x
  2. Step 2: Convert to fraction form
    609,202/840,582.06 = 394,312.24/x
  3. Step 3: Cross multiply
    609,202x = 840,582.06 × 394,312.24
  4. Step 4: Simplify right side
    609,202x = 331,451,794,982.41
  5. Step 5: Solve for x
    x = 331,451,794,982.41/609,202
  6. Step 6: Final answer
    x = 544,075.36

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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.