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Finding the Fourth Proportional to 409,976.71, 565,768.71 and 228,683.95

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Solution

The fourth proportional to 409,976.71, 565,768.71 and 228,683.95 is: 315,584.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,976.71 : 565,768.71 = 228,683.95 : x
  2. Step 2: Convert to fraction form
    409,976.71/565,768.71 = 228,683.95/x
  3. Step 3: Cross multiply
    409,976.71x = 565,768.71 × 228,683.95
  4. Step 4: Simplify right side
    409,976.71x = 129,382,221,974.78
  5. Step 5: Solve for x
    x = 129,382,221,974.78/409,976.71
  6. Step 6: Final answer
    x = 315,584.32

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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.