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Finding the Fourth Proportional to 405,744.10, 608,616.15 and 394,080.10

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Solution

The fourth proportional to 405,744.10, 608,616.15 and 394,080.10 is: 591,120.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,744.10 : 608,616.15 = 394,080.10 : x
  2. Step 2: Convert to fraction form
    405,744.10/608,616.15 = 394,080.10/x
  3. Step 3: Cross multiply
    405,744.10x = 608,616.15 × 394,080.10
  4. Step 4: Simplify right side
    405,744.10x = 239,843,513,253.62
  5. Step 5: Solve for x
    x = 239,843,513,253.62/405,744.10
  6. Step 6: Final answer
    x = 591,120.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.