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Finding the Fourth Proportional to 409,007.57, 613,437.48 and 142,844.18

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Solution

The fourth proportional to 409,007.57, 613,437.48 and 142,844.18 is: 214,240.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,007.57 : 613,437.48 = 142,844.18 : x
  2. Step 2: Convert to fraction form
    409,007.57/613,437.48 = 142,844.18/x
  3. Step 3: Cross multiply
    409,007.57x = 613,437.48 × 142,844.18
  4. Step 4: Simplify right side
    409,007.57x = 87,625,970,744.68
  5. Step 5: Solve for x
    x = 87,625,970,744.68/409,007.57
  6. Step 6: Final answer
    x = 214,240.46

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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.