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Finding the Fourth Proportional to 300,730.46, 415,001.67 and 164,757.78

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Solution

The fourth proportional to 300,730.46, 415,001.67 and 164,757.78 is: 227,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,730.46 : 415,001.67 = 164,757.78 : x
  2. Step 2: Convert to fraction form
    300,730.46/415,001.67 = 164,757.78/x
  3. Step 3: Cross multiply
    300,730.46x = 415,001.67 × 164,757.78
  4. Step 4: Simplify right side
    300,730.46x = 68,374,753,845.49
  5. Step 5: Solve for x
    x = 68,374,753,845.49/300,730.46
  6. Step 6: Final answer
    x = 227,362.25

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1.5x scale

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.