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Finding the Fourth Proportional to 406,786.35, 609,805.87 and 217,377.46

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Solution

The fourth proportional to 406,786.35, 609,805.87 and 217,377.46 is: 325,866.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,786.35 : 609,805.87 = 217,377.46 : x
  2. Step 2: Convert to fraction form
    406,786.35/609,805.87 = 217,377.46/x
  3. Step 3: Cross multiply
    406,786.35x = 609,805.87 × 217,377.46
  4. Step 4: Simplify right side
    406,786.35x = 132,558,051,113.69
  5. Step 5: Solve for x
    x = 132,558,051,113.69/406,786.35
  6. Step 6: Final answer
    x = 325,866.52

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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.