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Finding the Fourth Proportional to 208,392.30, 312,256.29 and 133,450.80

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Solution

The fourth proportional to 208,392.30, 312,256.29 and 133,450.80 is: 199,963.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,392.30 : 312,256.29 = 133,450.80 : x
  2. Step 2: Convert to fraction form
    208,392.30/312,256.29 = 133,450.80/x
  3. Step 3: Cross multiply
    208,392.30x = 312,256.29 × 133,450.80
  4. Step 4: Simplify right side
    208,392.30x = 41,670,851,705.53
  5. Step 5: Solve for x
    x = 41,670,851,705.53/208,392.30
  6. Step 6: Final answer
    x = 199,963.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.