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Finding the Fourth Proportional to 381,364, 524,416.08 and 330,975.52

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Solution

The fourth proportional to 381,364, 524,416.08 and 330,975.52 is: 455,126.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,364 : 524,416.08 = 330,975.52 : x
  2. Step 2: Convert to fraction form
    381,364/524,416.08 = 330,975.52/x
  3. Step 3: Cross multiply
    381,364x = 524,416.08 × 330,975.52
  4. Step 4: Simplify right side
    381,364x = 173,568,884,774.36
  5. Step 5: Solve for x
    x = 173,568,884,774.36/381,364
  6. Step 6: Final answer
    x = 455,126.56

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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.