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Finding the Fourth Proportional to 258,508.53, 356,698.17 and 143,772.12

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Solution

The fourth proportional to 258,508.53, 356,698.17 and 143,772.12 is: 198,381.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,508.53 : 356,698.17 = 143,772.12 : x
  2. Step 2: Convert to fraction form
    258,508.53/356,698.17 = 143,772.12/x
  3. Step 3: Cross multiply
    258,508.53x = 356,698.17 × 143,772.12
  4. Step 4: Simplify right side
    258,508.53x = 51,283,252,101.02
  5. Step 5: Solve for x
    x = 51,283,252,101.02/258,508.53
  6. Step 6: Final answer
    x = 198,381.28

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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.