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Finding the Fourth Proportional to 356,433.90, 491,859.97 and 203,466.01

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Solution

The fourth proportional to 356,433.90, 491,859.97 and 203,466.01 is: 280,772.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,433.90 : 491,859.97 = 203,466.01 : x
  2. Step 2: Convert to fraction form
    356,433.90/491,859.97 = 203,466.01/x
  3. Step 3: Cross multiply
    356,433.90x = 491,859.97 × 203,466.01
  4. Step 4: Simplify right side
    356,433.90x = 100,076,785,574.62
  5. Step 5: Solve for x
    x = 100,076,785,574.62/356,433.90
  6. Step 6: Final answer
    x = 280,772.36

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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.