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Finding the Fourth Proportional to 499,286.80, 749,027.40 and 214,976.80

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Solution

The fourth proportional to 499,286.80, 749,027.40 and 214,976.80 is: 322,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,286.80 : 749,027.40 = 214,976.80 : x
  2. Step 2: Convert to fraction form
    499,286.80/749,027.40 = 214,976.80/x
  3. Step 3: Cross multiply
    499,286.80x = 749,027.40 × 214,976.80
  4. Step 4: Simplify right side
    499,286.80x = 161,023,513,564.32
  5. Step 5: Solve for x
    x = 161,023,513,564.32/499,286.80
  6. Step 6: Final answer
    x = 322,507.05

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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.