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Finding the Fourth Proportional to 812,238, 1,120,732.92 and 525,718.32

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Solution

The fourth proportional to 812,238, 1,120,732.92 and 525,718.32 is: 725,390.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,238 : 1,120,732.92 = 525,718.32 : x
  2. Step 2: Convert to fraction form
    812,238/1,120,732.92 = 525,718.32/x
  3. Step 3: Cross multiply
    812,238x = 1,120,732.92 × 525,718.32
  4. Step 4: Simplify right side
    812,238x = 589,189,827,871.09
  5. Step 5: Solve for x
    x = 589,189,827,871.09/812,238
  6. Step 6: Final answer
    x = 725,390.62

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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.