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Finding the Fourth Proportional to 778,887, 1,074,864.12 and 421,191

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Solution

The fourth proportional to 778,887, 1,074,864.12 and 421,191 is: 581,243.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,887 : 1,074,864.12 = 421,191 : x
  2. Step 2: Convert to fraction form
    778,887/1,074,864.12 = 421,191/x
  3. Step 3: Cross multiply
    778,887x = 1,074,864.12 × 421,191
  4. Step 4: Simplify right side
    778,887x = 452,723,093,566.92
  5. Step 5: Solve for x
    x = 452,723,093,566.92/778,887
  6. Step 6: Final answer
    x = 581,243.61

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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.