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Finding the Fourth Proportional to 274,075.43, 411,157.47 and 84,491.45

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Solution

The fourth proportional to 274,075.43, 411,157.47 and 84,491.45 is: 126,750.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,075.43 : 411,157.47 = 84,491.45 : x
  2. Step 2: Convert to fraction form
    274,075.43/411,157.47 = 84,491.45/x
  3. Step 3: Cross multiply
    274,075.43x = 411,157.47 × 84,491.45
  4. Step 4: Simplify right side
    274,075.43x = 34,739,288,762.84
  5. Step 5: Solve for x
    x = 34,739,288,762.84/274,075.43
  6. Step 6: Final answer
    x = 126,750.83

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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.