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Finding the Fourth Proportional to 315,695.34, 472,786.47 and 230,076.72

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Solution

The fourth proportional to 315,695.34, 472,786.47 and 230,076.72 is: 344,563.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,695.34 : 472,786.47 = 230,076.72 : x
  2. Step 2: Convert to fraction form
    315,695.34/472,786.47 = 230,076.72/x
  3. Step 3: Cross multiply
    315,695.34x = 472,786.47 × 230,076.72
  4. Step 4: Simplify right side
    315,695.34x = 108,777,160,277.98
  5. Step 5: Solve for x
    x = 108,777,160,277.98/315,695.34
  6. Step 6: Final answer
    x = 344,563.72

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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.