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Finding the Fourth Proportional to 269,684.80, 404,141.70 and 198,045.40

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Solution

The fourth proportional to 269,684.80, 404,141.70 and 198,045.40 is: 296,785.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,684.80 : 404,141.70 = 198,045.40 : x
  2. Step 2: Convert to fraction form
    269,684.80/404,141.70 = 198,045.40/x
  3. Step 3: Cross multiply
    269,684.80x = 404,141.70 × 198,045.40
  4. Step 4: Simplify right side
    269,684.80x = 80,038,404,633.18
  5. Step 5: Solve for x
    x = 80,038,404,633.18/269,684.80
  6. Step 6: Final answer
    x = 296,785.00

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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.