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Finding the Fourth Proportional to 208,883.20, 313,324.80 and 167,411.20

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Solution

The fourth proportional to 208,883.20, 313,324.80 and 167,411.20 is: 251,116.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,883.20 : 313,324.80 = 167,411.20 : x
  2. Step 2: Convert to fraction form
    208,883.20/313,324.80 = 167,411.20/x
  3. Step 3: Cross multiply
    208,883.20x = 313,324.80 × 167,411.20
  4. Step 4: Simplify right side
    208,883.20x = 52,454,080,757.76
  5. Step 5: Solve for x
    x = 52,454,080,757.76/208,883.20
  6. Step 6: Final answer
    x = 251,116.80

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