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Finding the Fourth Proportional to 315,726.34, 472,832.97 and 230,107.72

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Solution

The fourth proportional to 315,726.34, 472,832.97 and 230,107.72 is: 344,610.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,726.34 : 472,832.97 = 230,107.72 : x
  2. Step 2: Convert to fraction form
    315,726.34/472,832.97 = 230,107.72/x
  3. Step 3: Cross multiply
    315,726.34x = 472,832.97 × 230,107.72
  4. Step 4: Simplify right side
    315,726.34x = 108,802,516,667.53
  5. Step 5: Solve for x
    x = 108,802,516,667.53/315,726.34
  6. Step 6: Final answer
    x = 344,610.20

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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.