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Finding the Fourth Proportional to 305,308.98, 457,977.85 and 251,901.97

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Solution

The fourth proportional to 305,308.98, 457,977.85 and 251,901.97 is: 377,864.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,308.98 : 457,977.85 = 251,901.97 : x
  2. Step 2: Convert to fraction form
    305,308.98/457,977.85 = 251,901.97/x
  3. Step 3: Cross multiply
    305,308.98x = 457,977.85 × 251,901.97
  4. Step 4: Simplify right side
    305,308.98x = 115,365,520,856.67
  5. Step 5: Solve for x
    x = 115,365,520,856.67/305,308.98
  6. Step 6: Final answer
    x = 377,864.81

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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.