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Finding the Fourth Proportional to 258,496.43, 356,731.22 and 143,779.73

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Solution

The fourth proportional to 258,496.43, 356,731.22 and 143,779.73 is: 198,419.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,496.43 : 356,731.22 = 143,779.73 : x
  2. Step 2: Convert to fraction form
    258,496.43/356,731.22 = 143,779.73/x
  3. Step 3: Cross multiply
    258,496.43x = 356,731.22 × 143,779.73
  4. Step 4: Simplify right side
    258,496.43x = 51,290,717,775.27
  5. Step 5: Solve for x
    x = 51,290,717,775.27/258,496.43
  6. Step 6: Final answer
    x = 198,419.44

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1.5x scale

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.