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Finding the Fourth Proportional to 375,345.35, 517,976.84 and 203,264.66

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Solution

The fourth proportional to 375,345.35, 517,976.84 and 203,264.66 is: 280,505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,345.35 : 517,976.84 = 203,264.66 : x
  2. Step 2: Convert to fraction form
    375,345.35/517,976.84 = 203,264.66/x
  3. Step 3: Cross multiply
    375,345.35x = 517,976.84 × 203,264.66
  4. Step 4: Simplify right side
    375,345.35x = 105,286,382,664.27
  5. Step 5: Solve for x
    x = 105,286,382,664.27/375,345.35
  6. Step 6: Final answer
    x = 280,505.36

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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.