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Finding the Fourth Proportional to 491,231.84, 677,982.80 and 284,470.16

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Solution

The fourth proportional to 491,231.84, 677,982.80 and 284,470.16 is: 392,616.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,231.84 : 677,982.80 = 284,470.16 : x
  2. Step 2: Convert to fraction form
    491,231.84/677,982.80 = 284,470.16/x
  3. Step 3: Cross multiply
    491,231.84x = 677,982.80 × 284,470.16
  4. Step 4: Simplify right side
    491,231.84x = 192,865,875,593.25
  5. Step 5: Solve for x
    x = 192,865,875,593.25/491,231.84
  6. Step 6: Final answer
    x = 392,616.81

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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.