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Finding the Fourth Proportional to 408,195.72, 562,870.62 and 255,178.08

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Solution

The fourth proportional to 408,195.72, 562,870.62 and 255,178.08 is: 351,871.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,195.72 : 562,870.62 = 255,178.08 : x
  2. Step 2: Convert to fraction form
    408,195.72/562,870.62 = 255,178.08/x
  3. Step 3: Cross multiply
    408,195.72x = 562,870.62 × 255,178.08
  4. Step 4: Simplify right side
    408,195.72x = 143,632,244,100.01
  5. Step 5: Solve for x
    x = 143,632,244,100.01/408,195.72
  6. Step 6: Final answer
    x = 351,871.02

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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.