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Finding the Fourth Proportional to 305,211.40, 457,723.47 and 211,046.65

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Solution

The fourth proportional to 305,211.40, 457,723.47 and 211,046.65 is: 316,505.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,211.40 : 457,723.47 = 211,046.65 : x
  2. Step 2: Convert to fraction form
    305,211.40/457,723.47 = 211,046.65/x
  3. Step 3: Cross multiply
    305,211.40x = 457,723.47 × 211,046.65
  4. Step 4: Simplify right side
    305,211.40x = 96,601,004,969.88
  5. Step 5: Solve for x
    x = 96,601,004,969.88/305,211.40
  6. Step 6: Final answer
    x = 316,505.23

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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.