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Finding the Fourth Proportional to 305,201.39, 457,708.48 and 211,036.64

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Solution

The fourth proportional to 305,201.39, 457,708.48 and 211,036.64 is: 316,490.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,201.39 : 457,708.48 = 211,036.64 : x
  2. Step 2: Convert to fraction form
    305,201.39/457,708.48 = 211,036.64/x
  3. Step 3: Cross multiply
    305,201.39x = 457,708.48 × 211,036.64
  4. Step 4: Simplify right side
    305,201.39x = 96,593,256,902.57
  5. Step 5: Solve for x
    x = 96,593,256,902.57/305,201.39
  6. Step 6: Final answer
    x = 316,490.23

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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.