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Finding the Fourth Proportional to 499,270, 748,905 and 166,846

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Solution

The fourth proportional to 499,270, 748,905 and 166,846 is: 250,269

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,270 : 748,905 = 166,846 : x
  2. Step 2: Convert to fraction form
    499,270/748,905 = 166,846/x
  3. Step 3: Cross multiply
    499,270x = 748,905 × 166,846
  4. Step 4: Simplify right side
    499,270x = 124,951,803,630
  5. Step 5: Solve for x
    x = 124,951,803,630/499,270
  6. Step 6: Final answer
    x = 250,269

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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.