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Finding the Fourth Proportional to 379,319.52, 523,471.50 and 209,564.58

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Solution

The fourth proportional to 379,319.52, 523,471.50 and 209,564.58 is: 289,204.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,319.52 : 523,471.50 = 209,564.58 : x
  2. Step 2: Convert to fraction form
    379,319.52/523,471.50 = 209,564.58/x
  3. Step 3: Cross multiply
    379,319.52x = 523,471.50 × 209,564.58
  4. Step 4: Simplify right side
    379,319.52x = 109,701,085,039.47
  5. Step 5: Solve for x
    x = 109,701,085,039.47/379,319.52
  6. Step 6: Final answer
    x = 289,204.96

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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.