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Finding the Fourth Proportional to 379,806.46, 524,119.17 and 207,718.54

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Solution

The fourth proportional to 379,806.46, 524,119.17 and 207,718.54 is: 286,644.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,806.46 : 524,119.17 = 207,718.54 : x
  2. Step 2: Convert to fraction form
    379,806.46/524,119.17 = 207,718.54/x
  3. Step 3: Cross multiply
    379,806.46x = 524,119.17 × 207,718.54
  4. Step 4: Simplify right side
    379,806.46x = 108,869,268,778.41
  5. Step 5: Solve for x
    x = 108,869,268,778.41/379,806.46
  6. Step 6: Final answer
    x = 286,644.07

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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.