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Finding the Fourth Proportional to 284,401.84, 426,603.93 and 71,169.17

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Solution

The fourth proportional to 284,401.84, 426,603.93 and 71,169.17 is: 106,754.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,401.84 : 426,603.93 = 71,169.17 : x
  2. Step 2: Convert to fraction form
    284,401.84/426,603.93 = 71,169.17/x
  3. Step 3: Cross multiply
    284,401.84x = 426,603.93 × 71,169.17
  4. Step 4: Simplify right side
    284,401.84x = 30,361,047,616.84
  5. Step 5: Solve for x
    x = 30,361,047,616.84/284,401.84
  6. Step 6: Final answer
    x = 106,754.05

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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.