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Finding the Fourth Proportional to 857,381, 1,285,039.92 and 317,206.56

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Solution

The fourth proportional to 857,381, 1,285,039.92 and 317,206.56 is: 475,428.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    857,381 : 1,285,039.92 = 317,206.56 : x
  2. Step 2: Convert to fraction form
    857,381/1,285,039.92 = 317,206.56/x
  3. Step 3: Cross multiply
    857,381x = 1,285,039.92 × 317,206.56
  4. Step 4: Simplify right side
    857,381x = 407,623,092,485.88
  5. Step 5: Solve for x
    x = 407,623,092,485.88/857,381
  6. Step 6: Final answer
    x = 475,428.18

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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.