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Finding the Fourth Proportional to 305,321.48, 457,983.39 and 127,703.90

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Solution

The fourth proportional to 305,321.48, 457,983.39 and 127,703.90 is: 191,556.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,321.48 : 457,983.39 = 127,703.90 : x
  2. Step 2: Convert to fraction form
    305,321.48/457,983.39 = 127,703.90/x
  3. Step 3: Cross multiply
    305,321.48x = 457,983.39 × 127,703.90
  4. Step 4: Simplify right side
    305,321.48x = 58,486,262,748.30
  5. Step 5: Solve for x
    x = 58,486,262,748.30/305,321.48
  6. Step 6: Final answer
    x = 191,556.34

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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.