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Finding the Fourth Proportional to 361,810.21, 499,328.75 and 200,717.16

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Solution

The fourth proportional to 361,810.21, 499,328.75 and 200,717.16 is: 277,006.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,810.21 : 499,328.75 = 200,717.16 : x
  2. Step 2: Convert to fraction form
    361,810.21/499,328.75 = 200,717.16/x
  3. Step 3: Cross multiply
    361,810.21x = 499,328.75 × 200,717.16
  4. Step 4: Simplify right side
    361,810.21x = 100,223,847,235.66
  5. Step 5: Solve for x
    x = 100,223,847,235.66/361,810.21
  6. Step 6: Final answer
    x = 277,006.69

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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.