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Finding the Fourth Proportional to 654,412.39, 981,590.02 and 205,123

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Solution

The fourth proportional to 654,412.39, 981,590.02 and 205,123 is: 307,675.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,412.39 : 981,590.02 = 205,123 : x
  2. Step 2: Convert to fraction form
    654,412.39/981,590.02 = 205,123/x
  3. Step 3: Cross multiply
    654,412.39x = 981,590.02 × 205,123
  4. Step 4: Simplify right side
    654,412.39x = 201,346,689,672.46
  5. Step 5: Solve for x
    x = 201,346,689,672.46/654,412.39
  6. Step 6: Final answer
    x = 307,675.55

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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.