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Finding the Fourth Proportional to 381,367.13, 524,420.39 and 330,978.65

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Solution

The fourth proportional to 381,367.13, 524,420.39 and 330,978.65 is: 455,130.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,367.13 : 524,420.39 = 330,978.65 : x
  2. Step 2: Convert to fraction form
    381,367.13/524,420.39 = 330,978.65/x
  3. Step 3: Cross multiply
    381,367.13x = 524,420.39 × 330,978.65
  4. Step 4: Simplify right side
    381,367.13x = 173,571,950,920.02
  5. Step 5: Solve for x
    x = 173,571,950,920.02/381,367.13
  6. Step 6: Final answer
    x = 455,130.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.