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Finding the Fourth Proportional to 652,407.99, 978,377.19 and 225,827.91

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Solution

The fourth proportional to 652,407.99, 978,377.19 and 225,827.91 is: 338,660.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,407.99 : 978,377.19 = 225,827.91 : x
  2. Step 2: Convert to fraction form
    652,407.99/978,377.19 = 225,827.91/x
  3. Step 3: Cross multiply
    652,407.99x = 978,377.19 × 225,827.91
  4. Step 4: Simplify right side
    652,407.99x = 220,944,876,009.37
  5. Step 5: Solve for x
    x = 220,944,876,009.37/652,407.99
  6. Step 6: Final answer
    x = 338,660.59

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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.