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Finding the Fourth Proportional to 379,689.94, 523,979.70 and 207,618.67

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Solution

The fourth proportional to 379,689.94, 523,979.70 and 207,618.67 is: 286,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,689.94 : 523,979.70 = 207,618.67 : x
  2. Step 2: Convert to fraction form
    379,689.94/523,979.70 = 207,618.67/x
  3. Step 3: Cross multiply
    379,689.94x = 523,979.70 × 207,618.67
  4. Step 4: Simplify right side
    379,689.94x = 108,787,968,297.40
  5. Step 5: Solve for x
    x = 108,787,968,297.40/379,689.94
  6. Step 6: Final answer
    x = 286,517.91

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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.