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Finding the Fourth Proportional to 408,067.16, 562,539.17 and 285,178

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Solution

The fourth proportional to 408,067.16, 562,539.17 and 285,178 is: 393,130.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,067.16 : 562,539.17 = 285,178 : x
  2. Step 2: Convert to fraction form
    408,067.16/562,539.17 = 285,178/x
  3. Step 3: Cross multiply
    408,067.16x = 562,539.17 × 285,178
  4. Step 4: Simplify right side
    408,067.16x = 160,423,796,135.21
  5. Step 5: Solve for x
    x = 160,423,796,135.21/408,067.16
  6. Step 6: Final answer
    x = 393,130.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.