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Finding the Fourth Proportional to 305,344.73, 457,795.65 and 205,256.67

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Solution

The fourth proportional to 305,344.73, 457,795.65 and 205,256.67 is: 307,736.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,344.73 : 457,795.65 = 205,256.67 : x
  2. Step 2: Convert to fraction form
    305,344.73/457,795.65 = 205,256.67/x
  3. Step 3: Cross multiply
    305,344.73x = 457,795.65 × 205,256.67
  4. Step 4: Simplify right side
    305,344.73x = 93,965,610,659.49
  5. Step 5: Solve for x
    x = 93,965,610,659.49/305,344.73
  6. Step 6: Final answer
    x = 307,736.15

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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.