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Finding the Fourth Proportional to 372,694.84, 514,320.12 and 202,930

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Solution

The fourth proportional to 372,694.84, 514,320.12 and 202,930 is: 280,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    372,694.84 : 514,320.12 = 202,930 : x
  2. Step 2: Convert to fraction form
    372,694.84/514,320.12 = 202,930/x
  3. Step 3: Cross multiply
    372,694.84x = 514,320.12 × 202,930
  4. Step 4: Simplify right side
    372,694.84x = 104,370,981,951.60
  5. Step 5: Solve for x
    x = 104,370,981,951.60/372,694.84
  6. Step 6: Final answer
    x = 280,044.08

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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.