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Finding the Fourth Proportional to 379,465.48, 523,617.78 and 209,689.48

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Solution

The fourth proportional to 379,465.48, 523,617.78 and 209,689.48 is: 289,346.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,465.48 : 523,617.78 = 209,689.48 : x
  2. Step 2: Convert to fraction form
    379,465.48/523,617.78 = 209,689.48/x
  3. Step 3: Cross multiply
    379,465.48x = 523,617.78 × 209,689.48
  4. Step 4: Simplify right side
    379,465.48x = 109,797,140,006.95
  5. Step 5: Solve for x
    x = 109,797,140,006.95/379,465.48
  6. Step 6: Final answer
    x = 289,346.85

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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.