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Finding the Fourth Proportional to 417,020.79, 625,047.31 and 191,908.63

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Solution

The fourth proportional to 417,020.79, 625,047.31 and 191,908.63 is: 287,640.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,020.79 : 625,047.31 = 191,908.63 : x
  2. Step 2: Convert to fraction form
    417,020.79/625,047.31 = 191,908.63/x
  3. Step 3: Cross multiply
    417,020.79x = 625,047.31 × 191,908.63
  4. Step 4: Simplify right side
    417,020.79x = 119,951,972,947.29
  5. Step 5: Solve for x
    x = 119,951,972,947.29/417,020.79
  6. Step 6: Final answer
    x = 287,640.27

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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.