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Finding the Fourth Proportional to 811,542, 1,217,075 and 305,738

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Solution

The fourth proportional to 811,542, 1,217,075 and 305,738 is: 458,517.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,542 : 1,217,075 = 305,738 : x
  2. Step 2: Convert to fraction form
    811,542/1,217,075 = 305,738/x
  3. Step 3: Cross multiply
    811,542x = 1,217,075 × 305,738
  4. Step 4: Simplify right side
    811,542x = 372,106,076,350
  5. Step 5: Solve for x
    x = 372,106,076,350/811,542
  6. Step 6: Final answer
    x = 458,517.34

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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.