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Finding the Fourth Proportional to 305,378.66, 457,846.56 and 205,290.61

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Solution

The fourth proportional to 305,378.66, 457,846.56 and 205,290.61 is: 307,787.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,378.66 : 457,846.56 = 205,290.61 : x
  2. Step 2: Convert to fraction form
    305,378.66/457,846.56 = 205,290.61/x
  3. Step 3: Cross multiply
    305,378.66x = 457,846.56 × 205,290.61
  4. Step 4: Simplify right side
    305,378.66x = 93,991,598,444.19
  5. Step 5: Solve for x
    x = 93,991,598,444.19/305,378.66
  6. Step 6: Final answer
    x = 307,787.05

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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.