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Finding the Fourth Proportional to 305,090.39, 457,640.34 and 115,499.87

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Solution

The fourth proportional to 305,090.39, 457,640.34 and 115,499.87 is: 173,251.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,090.39 : 457,640.34 = 115,499.87 : x
  2. Step 2: Convert to fraction form
    305,090.39/457,640.34 = 115,499.87/x
  3. Step 3: Cross multiply
    305,090.39x = 457,640.34 × 115,499.87
  4. Step 4: Simplify right side
    305,090.39x = 52,857,397,488.55
  5. Step 5: Solve for x
    x = 52,857,397,488.55/305,090.39
  6. Step 6: Final answer
    x = 173,251.60

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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.