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Finding the Fourth Proportional to 375,340.80, 517,964.96 and 214,246.88

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Solution

The fourth proportional to 375,340.80, 517,964.96 and 214,246.88 is: 295,657.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,340.80 : 517,964.96 = 214,246.88 : x
  2. Step 2: Convert to fraction form
    375,340.80/517,964.96 = 214,246.88/x
  3. Step 3: Cross multiply
    375,340.80x = 517,964.96 × 214,246.88
  4. Step 4: Simplify right side
    375,340.80x = 110,972,376,629.33
  5. Step 5: Solve for x
    x = 110,972,376,629.33/375,340.80
  6. Step 6: Final answer
    x = 295,657.64

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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.