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Finding the Fourth Proportional to 285,246.22, 427,879.25 and 135,409.32

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Solution

The fourth proportional to 285,246.22, 427,879.25 and 135,409.32 is: 203,118.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,246.22 : 427,879.25 = 135,409.32 : x
  2. Step 2: Convert to fraction form
    285,246.22/427,879.25 = 135,409.32/x
  3. Step 3: Cross multiply
    285,246.22x = 427,879.25 × 135,409.32
  4. Step 4: Simplify right side
    285,246.22x = 57,938,838,284.61
  5. Step 5: Solve for x
    x = 57,938,838,284.61/285,246.22
  6. Step 6: Final answer
    x = 203,118.69

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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.