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Finding the Fourth Proportional to 408,969.50, 613,510.14 and 142,690.91

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Solution

The fourth proportional to 408,969.50, 613,510.14 and 142,690.91 is: 214,055.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,969.50 : 613,510.14 = 142,690.91 : x
  2. Step 2: Convert to fraction form
    408,969.50/613,510.14 = 142,690.91/x
  3. Step 3: Cross multiply
    408,969.50x = 613,510.14 × 142,690.91
  4. Step 4: Simplify right side
    408,969.50x = 87,542,320,170.83
  5. Step 5: Solve for x
    x = 87,542,320,170.83/408,969.50
  6. Step 6: Final answer
    x = 214,055.87

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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.