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Finding the Fourth Proportional to 315,005.96, 472,361.16 and 115,186.63

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Solution

The fourth proportional to 315,005.96, 472,361.16 and 115,186.63 is: 172,725.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,005.96 : 472,361.16 = 115,186.63 : x
  2. Step 2: Convert to fraction form
    315,005.96/472,361.16 = 115,186.63/x
  3. Step 3: Cross multiply
    315,005.96x = 472,361.16 × 115,186.63
  4. Step 4: Simplify right side
    315,005.96x = 54,409,687,801.49
  5. Step 5: Solve for x
    x = 54,409,687,801.49/315,005.96
  6. Step 6: Final answer
    x = 172,725.90

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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.