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Finding the Fourth Proportional to 411,838.90, 568,309.90 and 228,064.28

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Solution

The fourth proportional to 411,838.90, 568,309.90 and 228,064.28 is: 314,713.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,838.90 : 568,309.90 = 228,064.28 : x
  2. Step 2: Convert to fraction form
    411,838.90/568,309.90 = 228,064.28/x
  3. Step 3: Cross multiply
    411,838.90x = 568,309.90 × 228,064.28
  4. Step 4: Simplify right side
    411,838.90x = 129,611,188,160.37
  5. Step 5: Solve for x
    x = 129,611,188,160.37/411,838.90
  6. Step 6: Final answer
    x = 314,713.32

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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.