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Finding the Fourth Proportional to 259,683.10, 389,305.95 and 135,024.10

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Solution

The fourth proportional to 259,683.10, 389,305.95 and 135,024.10 is: 202,422.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,683.10 : 389,305.95 = 135,024.10 : x
  2. Step 2: Convert to fraction form
    259,683.10/389,305.95 = 135,024.10/x
  3. Step 3: Cross multiply
    259,683.10x = 389,305.95 × 135,024.10
  4. Step 4: Simplify right side
    259,683.10x = 52,565,685,523.40
  5. Step 5: Solve for x
    x = 52,565,685,523.40/259,683.10
  6. Step 6: Final answer
    x = 202,422.44

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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.