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Finding the Fourth Proportional to 315,784.44, 474,013.71 and 135,958.86

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Solution

The fourth proportional to 315,784.44, 474,013.71 and 135,958.86 is: 204,083.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,784.44 : 474,013.71 = 135,958.86 : x
  2. Step 2: Convert to fraction form
    315,784.44/474,013.71 = 135,958.86/x
  3. Step 3: Cross multiply
    315,784.44x = 474,013.71 × 135,958.86
  4. Step 4: Simplify right side
    315,784.44x = 64,446,363,635.97
  5. Step 5: Solve for x
    x = 64,446,363,635.97/315,784.44
  6. Step 6: Final answer
    x = 204,083.40

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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.