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Finding the Fourth Proportional to 315,713.08, 435,676.92 and 172,473.76

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Solution

The fourth proportional to 315,713.08, 435,676.92 and 172,473.76 is: 238,009.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,713.08 : 435,676.92 = 172,473.76 : x
  2. Step 2: Convert to fraction form
    315,713.08/435,676.92 = 172,473.76/x
  3. Step 3: Cross multiply
    315,713.08x = 435,676.92 × 172,473.76
  4. Step 4: Simplify right side
    315,713.08x = 75,142,836,537.62
  5. Step 5: Solve for x
    x = 75,142,836,537.62/315,713.08
  6. Step 6: Final answer
    x = 238,009.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.