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Finding the Fourth Proportional to 305,297.91, 457,853.58 and 211,133.25

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Solution

The fourth proportional to 305,297.91, 457,853.58 and 211,133.25 is: 316,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,297.91 : 457,853.58 = 211,133.25 : x
  2. Step 2: Convert to fraction form
    305,297.91/457,853.58 = 211,133.25/x
  3. Step 3: Cross multiply
    305,297.91x = 457,853.58 × 211,133.25
  4. Step 4: Simplify right side
    305,297.91x = 96,668,114,369.54
  5. Step 5: Solve for x
    x = 96,668,114,369.54/305,297.91
  6. Step 6: Final answer
    x = 316,635.36

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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.