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Finding the Fourth Proportional to 315,146.64, 472,720.02 and 104,786.40

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Solution

The fourth proportional to 315,146.64, 472,720.02 and 104,786.40 is: 157,179.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,146.64 : 472,720.02 = 104,786.40 : x
  2. Step 2: Convert to fraction form
    315,146.64/472,720.02 = 104,786.40/x
  3. Step 3: Cross multiply
    315,146.64x = 472,720.02 × 104,786.40
  4. Step 4: Simplify right side
    315,146.64x = 49,534,629,103.73
  5. Step 5: Solve for x
    x = 49,534,629,103.73/315,146.64
  6. Step 6: Final answer
    x = 157,179.62

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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.