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Finding the Fourth Proportional to 379,650.24, 523,891.02 and 209,871

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Solution

The fourth proportional to 379,650.24, 523,891.02 and 209,871 is: 289,607.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,650.24 : 523,891.02 = 209,871 : x
  2. Step 2: Convert to fraction form
    379,650.24/523,891.02 = 209,871/x
  3. Step 3: Cross multiply
    379,650.24x = 523,891.02 × 209,871
  4. Step 4: Simplify right side
    379,650.24x = 109,949,532,258.42
  5. Step 5: Solve for x
    x = 109,949,532,258.42/379,650.24
  6. Step 6: Final answer
    x = 289,607.44

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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.