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Finding the Fourth Proportional to 654,308.95, 981,463.77 and 205,064.81

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Solution

The fourth proportional to 654,308.95, 981,463.77 and 205,064.81 is: 307,597.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,308.95 : 981,463.77 = 205,064.81 : x
  2. Step 2: Convert to fraction form
    654,308.95/981,463.77 = 205,064.81/x
  3. Step 3: Cross multiply
    654,308.95x = 981,463.77 × 205,064.81
  4. Step 4: Simplify right side
    654,308.95x = 201,263,686,675.96
  5. Step 5: Solve for x
    x = 201,263,686,675.96/654,308.95
  6. Step 6: Final answer
    x = 307,597.33

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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.