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Finding the Fourth Proportional to 400,709, 552,995.70 and 221,861

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Solution

The fourth proportional to 400,709, 552,995.70 and 221,861 is: 306,177.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,709 : 552,995.70 = 221,861 : x
  2. Step 2: Convert to fraction form
    400,709/552,995.70 = 221,861/x
  3. Step 3: Cross multiply
    400,709x = 552,995.70 × 221,861
  4. Step 4: Simplify right side
    400,709x = 122,688,178,997.70
  5. Step 5: Solve for x
    x = 122,688,178,997.70/400,709
  6. Step 6: Final answer
    x = 306,177.75

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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.