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Finding the Fourth Proportional to 801,972.84, 1,203,018.30 and 269,490

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Solution

The fourth proportional to 801,972.84, 1,203,018.30 and 269,490 is: 404,254.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    801,972.84 : 1,203,018.30 = 269,490 : x
  2. Step 2: Convert to fraction form
    801,972.84/1,203,018.30 = 269,490/x
  3. Step 3: Cross multiply
    801,972.84x = 1,203,018.30 × 269,490
  4. Step 4: Simplify right side
    801,972.84x = 324,201,401,667
  5. Step 5: Solve for x
    x = 324,201,401,667/801,972.84
  6. Step 6: Final answer
    x = 404,254.84

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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.