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Finding the Fourth Proportional to 305,239.73, 457,881.54 and 80,597.92

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Solution

The fourth proportional to 305,239.73, 457,881.54 and 80,597.92 is: 120,902.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,239.73 : 457,881.54 = 80,597.92 : x
  2. Step 2: Convert to fraction form
    305,239.73/457,881.54 = 80,597.92/x
  3. Step 3: Cross multiply
    305,239.73x = 457,881.54 × 80,597.92
  4. Step 4: Simplify right side
    305,239.73x = 36,904,299,730.40
  5. Step 5: Solve for x
    x = 36,904,299,730.40/305,239.73
  6. Step 6: Final answer
    x = 120,902.67

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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.