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Finding the Fourth Proportional to 269,231.64, 403,853.70 and 128,835.96

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Solution

The fourth proportional to 269,231.64, 403,853.70 and 128,835.96 is: 193,256.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,231.64 : 403,853.70 = 128,835.96 : x
  2. Step 2: Convert to fraction form
    269,231.64/403,853.70 = 128,835.96/x
  3. Step 3: Cross multiply
    269,231.64x = 403,853.70 × 128,835.96
  4. Step 4: Simplify right side
    269,231.64x = 52,030,879,139.05
  5. Step 5: Solve for x
    x = 52,030,879,139.05/269,231.64
  6. Step 6: Final answer
    x = 193,256.93

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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.