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Finding the Fourth Proportional to 406,954.80, 610,286.40 and 207,208.80

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Solution

The fourth proportional to 406,954.80, 610,286.40 and 207,208.80 is: 310,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,954.80 : 610,286.40 = 207,208.80 : x
  2. Step 2: Convert to fraction form
    406,954.80/610,286.40 = 207,208.80/x
  3. Step 3: Cross multiply
    406,954.80x = 610,286.40 × 207,208.80
  4. Step 4: Simplify right side
    406,954.80x = 126,456,712,600.32
  5. Step 5: Solve for x
    x = 126,456,712,600.32/406,954.80
  6. Step 6: Final answer
    x = 310,738.96

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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.