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Finding the Fourth Proportional to 283,858, 425,787 and 159,208.72

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Solution

The fourth proportional to 283,858, 425,787 and 159,208.72 is: 238,813.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,858 : 425,787 = 159,208.72 : x
  2. Step 2: Convert to fraction form
    283,858/425,787 = 159,208.72/x
  3. Step 3: Cross multiply
    283,858x = 425,787 × 159,208.72
  4. Step 4: Simplify right side
    283,858x = 67,789,003,262.64
  5. Step 5: Solve for x
    x = 67,789,003,262.64/283,858
  6. Step 6: Final answer
    x = 238,813.08

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Why These Related Problems?

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