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Finding the Fourth Proportional to 379,465.73, 523,618.12 and 209,689.73

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Solution

The fourth proportional to 379,465.73, 523,618.12 and 209,689.73 is: 289,347.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,465.73 : 523,618.12 = 209,689.73 : x
  2. Step 2: Convert to fraction form
    379,465.73/523,618.12 = 209,689.73/x
  3. Step 3: Cross multiply
    379,465.73x = 523,618.12 × 209,689.73
  4. Step 4: Simplify right side
    379,465.73x = 109,797,342,205.91
  5. Step 5: Solve for x
    x = 109,797,342,205.91/379,465.73
  6. Step 6: Final answer
    x = 289,347.19

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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.