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Finding the Fourth Proportional to 305,343.63, 457,794.01 and 205,255.58

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Solution

The fourth proportional to 305,343.63, 457,794.01 and 205,255.58 is: 307,734.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,343.63 : 457,794.01 = 205,255.58 : x
  2. Step 2: Convert to fraction form
    305,343.63/457,794.01 = 205,255.58/x
  3. Step 3: Cross multiply
    305,343.63x = 457,794.01 × 205,255.58
  4. Step 4: Simplify right side
    305,343.63x = 93,964,773,839.49
  5. Step 5: Solve for x
    x = 93,964,773,839.49/305,343.63
  6. Step 6: Final answer
    x = 307,734.51

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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.