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Finding the Fourth Proportional to 408,681.26, 613,025.37 and 142,441.35

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Solution

The fourth proportional to 408,681.26, 613,025.37 and 142,441.35 is: 213,663.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,681.26 : 613,025.37 = 142,441.35 : x
  2. Step 2: Convert to fraction form
    408,681.26/613,025.37 = 142,441.35/x
  3. Step 3: Cross multiply
    408,681.26x = 613,025.37 × 142,441.35
  4. Step 4: Simplify right side
    408,681.26x = 87,320,161,287.05
  5. Step 5: Solve for x
    x = 87,320,161,287.05/408,681.26
  6. Step 6: Final answer
    x = 213,663.24

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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.