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Finding the Fourth Proportional to 381,075.15, 571,927.20 and 191,589.37

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Solution

The fourth proportional to 381,075.15, 571,927.20 and 191,589.37 is: 287,542.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,075.15 : 571,927.20 = 191,589.37 : x
  2. Step 2: Convert to fraction form
    381,075.15/571,927.20 = 191,589.37/x
  3. Step 3: Cross multiply
    381,075.15x = 571,927.20 × 191,589.37
  4. Step 4: Simplify right side
    381,075.15x = 109,575,171,933.86
  5. Step 5: Solve for x
    x = 109,575,171,933.86/381,075.15
  6. Step 6: Final answer
    x = 287,542.16

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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.