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Finding the Fourth Proportional to 379,005.52, 523,024.44 and 209,236

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Solution

The fourth proportional to 379,005.52, 523,024.44 and 209,236 is: 288,743.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,005.52 : 523,024.44 = 209,236 : x
  2. Step 2: Convert to fraction form
    379,005.52/523,024.44 = 209,236/x
  3. Step 3: Cross multiply
    379,005.52x = 523,024.44 × 209,236
  4. Step 4: Simplify right side
    379,005.52x = 109,435,541,727.84
  5. Step 5: Solve for x
    x = 109,435,541,727.84/379,005.52
  6. Step 6: Final answer
    x = 288,743.93

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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.