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Finding the Fourth Proportional to 258,659.85, 356,919.26 and 143,911.40

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Solution

The fourth proportional to 258,659.85, 356,919.26 and 143,911.40 is: 198,580.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,659.85 : 356,919.26 = 143,911.40 : x
  2. Step 2: Convert to fraction form
    258,659.85/356,919.26 = 143,911.40/x
  3. Step 3: Cross multiply
    258,659.85x = 356,919.26 × 143,911.40
  4. Step 4: Simplify right side
    258,659.85x = 51,364,750,566.31
  5. Step 5: Solve for x
    x = 51,364,750,566.31/258,659.85
  6. Step 6: Final answer
    x = 198,580.30

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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.