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Finding the Fourth Proportional to 375,924.28, 518,727.71 and 214,789.76

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Solution

The fourth proportional to 375,924.28, 518,727.71 and 214,789.76 is: 296,382.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,924.28 : 518,727.71 = 214,789.76 : x
  2. Step 2: Convert to fraction form
    375,924.28/518,727.71 = 214,789.76/x
  3. Step 3: Cross multiply
    375,924.28x = 518,727.71 × 214,789.76
  4. Step 4: Simplify right side
    375,924.28x = 111,417,400,336.25
  5. Step 5: Solve for x
    x = 111,417,400,336.25/375,924.28
  6. Step 6: Final answer
    x = 296,382.56

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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.