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Finding the Fourth Proportional to 258,498.94, 356,701.26 and 143,758.96

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Solution

The fourth proportional to 258,498.94, 356,701.26 and 143,758.96 is: 198,372.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,498.94 : 356,701.26 = 143,758.96 : x
  2. Step 2: Convert to fraction form
    258,498.94/356,701.26 = 143,758.96/x
  3. Step 3: Cross multiply
    258,498.94x = 356,701.26 × 143,758.96
  4. Step 4: Simplify right side
    258,498.94x = 51,279,002,168.29
  5. Step 5: Solve for x
    x = 51,279,002,168.29/258,498.94
  6. Step 6: Final answer
    x = 198,372.20

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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.