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Finding the Fourth Proportional to 208,175.20, 290,823.20 and 208,175.20

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Solution

The fourth proportional to 208,175.20, 290,823.20 and 208,175.20 is: 290,823.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,175.20 : 290,823.20 = 208,175.20 : x
  2. Step 2: Convert to fraction form
    208,175.20/290,823.20 = 208,175.20/x
  3. Step 3: Cross multiply
    208,175.20x = 290,823.20 × 208,175.20
  4. Step 4: Simplify right side
    208,175.20x = 60,542,177,824.64
  5. Step 5: Solve for x
    x = 60,542,177,824.64/208,175.20
  6. Step 6: Final answer
    x = 290,823.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.