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Finding the Fourth Proportional to 650,908.20, 976,938.30 and 384,335.40

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Solution

The fourth proportional to 650,908.20, 976,938.30 and 384,335.40 is: 576,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,908.20 : 976,938.30 = 384,335.40 : x
  2. Step 2: Convert to fraction form
    650,908.20/976,938.30 = 384,335.40/x
  3. Step 3: Cross multiply
    650,908.20x = 976,938.30 × 384,335.40
  4. Step 4: Simplify right side
    650,908.20x = 375,471,972,305.82
  5. Step 5: Solve for x
    x = 375,471,972,305.82/650,908.20
  6. Step 6: Final answer
    x = 576,843.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.