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Finding the Fourth Proportional to 778,831, 1,074,786.78 and 421,135

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Solution

The fourth proportional to 778,831, 1,074,786.78 and 421,135 is: 581,166.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,831 : 1,074,786.78 = 421,135 : x
  2. Step 2: Convert to fraction form
    778,831/1,074,786.78 = 421,135/x
  3. Step 3: Cross multiply
    778,831x = 1,074,786.78 × 421,135
  4. Step 4: Simplify right side
    778,831x = 452,630,330,595.30
  5. Step 5: Solve for x
    x = 452,630,330,595.30/778,831
  6. Step 6: Final answer
    x = 581,166.30

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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.