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Finding the Fourth Proportional to 519,042.84, 778,322.34 and 269,657.88

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Solution

The fourth proportional to 519,042.84, 778,322.34 and 269,657.88 is: 404,361.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,042.84 : 778,322.34 = 269,657.88 : x
  2. Step 2: Convert to fraction form
    519,042.84/778,322.34 = 269,657.88/x
  3. Step 3: Cross multiply
    519,042.84x = 778,322.34 × 269,657.88
  4. Step 4: Simplify right side
    519,042.84x = 209,880,752,161.04
  5. Step 5: Solve for x
    x = 209,880,752,161.04/519,042.84
  6. Step 6: Final answer
    x = 404,361.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.