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Finding the Fourth Proportional to 654,248.68, 981,372.66 and 205,004.86

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Solution

The fourth proportional to 654,248.68, 981,372.66 and 205,004.86 is: 307,507.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,248.68 : 981,372.66 = 205,004.86 : x
  2. Step 2: Convert to fraction form
    654,248.68/981,372.66 = 205,004.86/x
  3. Step 3: Cross multiply
    654,248.68x = 981,372.66 × 205,004.86
  4. Step 4: Simplify right side
    654,248.68x = 201,186,164,771.13
  5. Step 5: Solve for x
    x = 201,186,164,771.13/654,248.68
  6. Step 6: Final answer
    x = 307,507.18

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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.