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Finding the Fourth Proportional to 654,381.88, 981,585.12 and 205,092.80

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Solution

The fourth proportional to 654,381.88, 981,585.12 and 205,092.80 is: 307,643.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,381.88 : 981,585.12 = 205,092.80 : x
  2. Step 2: Convert to fraction form
    654,381.88/981,585.12 = 205,092.80/x
  3. Step 3: Cross multiply
    654,381.88x = 981,585.12 × 205,092.80
  4. Step 4: Simplify right side
    654,381.88x = 201,316,040,699.14
  5. Step 5: Solve for x
    x = 201,316,040,699.14/654,381.88
  6. Step 6: Final answer
    x = 307,643.05

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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.