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Finding the Fourth Proportional to 305,065.46, 457,621.58 and 102,662.56

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Solution

The fourth proportional to 305,065.46, 457,621.58 and 102,662.56 is: 154,001.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,065.46 : 457,621.58 = 102,662.56 : x
  2. Step 2: Convert to fraction form
    305,065.46/457,621.58 = 102,662.56/x
  3. Step 3: Cross multiply
    305,065.46x = 457,621.58 × 102,662.56
  4. Step 4: Simplify right side
    305,065.46x = 46,980,603,742.73
  5. Step 5: Solve for x
    x = 46,980,603,742.73/305,065.46
  6. Step 6: Final answer
    x = 154,001.71

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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.