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Finding the Fourth Proportional to 406,286.84, 609,202.20 and 278,347.58

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Solution

The fourth proportional to 406,286.84, 609,202.20 and 278,347.58 is: 417,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,286.84 : 609,202.20 = 278,347.58 : x
  2. Step 2: Convert to fraction form
    406,286.84/609,202.20 = 278,347.58/x
  3. Step 3: Cross multiply
    406,286.84x = 609,202.20 × 278,347.58
  4. Step 4: Simplify right side
    406,286.84x = 169,569,958,100.68
  5. Step 5: Solve for x
    x = 169,569,958,100.68/406,286.84
  6. Step 6: Final answer
    x = 417,365.13

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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.