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Finding the Fourth Proportional to 381,075.21, 571,834.20 and 170,713.15

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Solution

The fourth proportional to 381,075.21, 571,834.20 and 170,713.15 is: 256,168.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,075.21 : 571,834.20 = 170,713.15 : x
  2. Step 2: Convert to fraction form
    381,075.21/571,834.20 = 170,713.15/x
  3. Step 3: Cross multiply
    381,075.21x = 571,834.20 × 170,713.15
  4. Step 4: Simplify right side
    381,075.21x = 97,619,618,274.52
  5. Step 5: Solve for x
    x = 97,619,618,274.52/381,075.21
  6. Step 6: Final answer
    x = 256,168.90

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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.