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Finding the Fourth Proportional to 408,977, 613,521.40 and 142,698.42

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Solution

The fourth proportional to 408,977, 613,521.40 and 142,698.42 is: 214,067.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,977 : 613,521.40 = 142,698.42 : x
  2. Step 2: Convert to fraction form
    408,977/613,521.40 = 142,698.42/x
  3. Step 3: Cross multiply
    408,977x = 613,521.40 × 142,698.42
  4. Step 4: Simplify right side
    408,977x = 87,548,534,416.19
  5. Step 5: Solve for x
    x = 87,548,534,416.19/408,977
  6. Step 6: Final answer
    x = 214,067.13

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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.