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Finding the Fourth Proportional to 381,359, 524,409.18 and 330,970.52

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Solution

The fourth proportional to 381,359, 524,409.18 and 330,970.52 is: 455,119.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,359 : 524,409.18 = 330,970.52 : x
  2. Step 2: Convert to fraction form
    381,359/524,409.18 = 330,970.52/x
  3. Step 3: Cross multiply
    381,359x = 524,409.18 × 330,970.52
  4. Step 4: Simplify right side
    381,359x = 173,563,978,997.37
  5. Step 5: Solve for x
    x = 173,563,978,997.37/381,359
  6. Step 6: Final answer
    x = 455,119.66

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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.