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Finding the Fourth Proportional to 1,133,839.82, 1,700,738.94 and 280,913.30

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Solution

The fourth proportional to 1,133,839.82, 1,700,738.94 and 280,913.30 is: 421,364.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133,839.82 : 1,700,738.94 = 280,913.30 : x
  2. Step 2: Convert to fraction form
    1,133,839.82/1,700,738.94 = 280,913.30/x
  3. Step 3: Cross multiply
    1,133,839.82x = 1,700,738.94 × 280,913.30
  4. Step 4: Simplify right side
    1,133,839.82x = 477,760,188,073.90
  5. Step 5: Solve for x
    x = 477,760,188,073.90/1,133,839.82
  6. Step 6: Final answer
    x = 421,364.80

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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.