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Finding the Fourth Proportional to 361,812.07, 499,331.28 and 200,719

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Solution

The fourth proportional to 361,812.07, 499,331.28 and 200,719 is: 277,009.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,812.07 : 499,331.28 = 200,719 : x
  2. Step 2: Convert to fraction form
    361,812.07/499,331.28 = 200,719/x
  3. Step 3: Cross multiply
    361,812.07x = 499,331.28 × 200,719
  4. Step 4: Simplify right side
    361,812.07x = 100,225,275,190.32
  5. Step 5: Solve for x
    x = 100,225,275,190.32/361,812.07
  6. Step 6: Final answer
    x = 277,009.21

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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.