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Finding the Fourth Proportional to 305,300.14, 457,921.05 and 186,910.54

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Solution

The fourth proportional to 305,300.14, 457,921.05 and 186,910.54 is: 280,347.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,300.14 : 457,921.05 = 186,910.54 : x
  2. Step 2: Convert to fraction form
    305,300.14/457,921.05 = 186,910.54/x
  3. Step 3: Cross multiply
    305,300.14x = 457,921.05 × 186,910.54
  4. Step 4: Simplify right side
    305,300.14x = 85,590,270,732.87
  5. Step 5: Solve for x
    x = 85,590,270,732.87/305,300.14
  6. Step 6: Final answer
    x = 280,347.96

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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.