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Finding the Fourth Proportional to 408,812.24, 613,300.38 and 142,501.26

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Solution

The fourth proportional to 408,812.24, 613,300.38 and 142,501.26 is: 213,780.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,812.24 : 613,300.38 = 142,501.26 : x
  2. Step 2: Convert to fraction form
    408,812.24/613,300.38 = 142,501.26/x
  3. Step 3: Cross multiply
    408,812.24x = 613,300.38 × 142,501.26
  4. Step 4: Simplify right side
    408,812.24x = 87,396,076,908.48
  5. Step 5: Solve for x
    x = 87,396,076,908.48/408,812.24
  6. Step 6: Final answer
    x = 213,780.48

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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.