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Finding the Fourth Proportional to 778,713, 1,074,623.94 and 421,017

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Solution

The fourth proportional to 778,713, 1,074,623.94 and 421,017 is: 581,003.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,713 : 1,074,623.94 = 421,017 : x
  2. Step 2: Convert to fraction form
    778,713/1,074,623.94 = 421,017/x
  3. Step 3: Cross multiply
    778,713x = 1,074,623.94 × 421,017
  4. Step 4: Simplify right side
    778,713x = 452,434,947,346.98
  5. Step 5: Solve for x
    x = 452,434,947,346.98/778,713
  6. Step 6: Final answer
    x = 581,003.46

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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.