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Finding the Fourth Proportional to 485,571.96, 726,946.29 and 282,549.31

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Solution

The fourth proportional to 485,571.96, 726,946.29 and 282,549.31 is: 423,002.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,571.96 : 726,946.29 = 282,549.31 : x
  2. Step 2: Convert to fraction form
    485,571.96/726,946.29 = 282,549.31/x
  3. Step 3: Cross multiply
    485,571.96x = 726,946.29 × 282,549.31
  4. Step 4: Simplify right side
    485,571.96x = 205,398,172,646.56
  5. Step 5: Solve for x
    x = 205,398,172,646.56/485,571.96
  6. Step 6: Final answer
    x = 423,002.54

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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.