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Finding the Fourth Proportional to 269,209.20, 403,813.80 and 128,895.60

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Solution

The fourth proportional to 269,209.20, 403,813.80 and 128,895.60 is: 193,343.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,209.20 : 403,813.80 = 128,895.60 : x
  2. Step 2: Convert to fraction form
    269,209.20/403,813.80 = 128,895.60/x
  3. Step 3: Cross multiply
    269,209.20x = 403,813.80 × 128,895.60
  4. Step 4: Simplify right side
    269,209.20x = 52,049,822,039.28
  5. Step 5: Solve for x
    x = 52,049,822,039.28/269,209.20
  6. Step 6: Final answer
    x = 193,343.40

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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.