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Finding the Fourth Proportional to 778,872, 1,074,843.42 and 421,176

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Solution

The fourth proportional to 778,872, 1,074,843.42 and 421,176 is: 581,222.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,872 : 1,074,843.42 = 421,176 : x
  2. Step 2: Convert to fraction form
    778,872/1,074,843.42 = 421,176/x
  3. Step 3: Cross multiply
    778,872x = 1,074,843.42 × 421,176
  4. Step 4: Simplify right side
    778,872x = 452,698,252,261.92
  5. Step 5: Solve for x
    x = 452,698,252,261.92/778,872
  6. Step 6: Final answer
    x = 581,222.91

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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.