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Finding the Fourth Proportional to 381,312.28, 571,972.52 and 115,075.20

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Solution

The fourth proportional to 381,312.28, 571,972.52 and 115,075.20 is: 172,614.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,312.28 : 571,972.52 = 115,075.20 : x
  2. Step 2: Convert to fraction form
    381,312.28/571,972.52 = 115,075.20/x
  3. Step 3: Cross multiply
    381,312.28x = 571,972.52 × 115,075.20
  4. Step 4: Simplify right side
    381,312.28x = 65,819,852,133.50
  5. Step 5: Solve for x
    x = 65,819,852,133.50/381,312.28
  6. Step 6: Final answer
    x = 172,614.04

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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.