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Finding the Fourth Proportional to 379,642.28, 523,864.87 and 209,843.60

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Solution

The fourth proportional to 379,642.28, 523,864.87 and 209,843.60 is: 289,561.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,642.28 : 523,864.87 = 209,843.60 : x
  2. Step 2: Convert to fraction form
    379,642.28/523,864.87 = 209,843.60/x
  3. Step 3: Cross multiply
    379,642.28x = 523,864.87 × 209,843.60
  4. Step 4: Simplify right side
    379,642.28x = 109,929,687,090.40
  5. Step 5: Solve for x
    x = 109,929,687,090.40/379,642.28
  6. Step 6: Final answer
    x = 289,561.24

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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.