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Finding the Fourth Proportional to 400,504.50, 552,697.83 and 221,656.50

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Solution

The fourth proportional to 400,504.50, 552,697.83 and 221,656.50 is: 305,886.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,504.50 : 552,697.83 = 221,656.50 : x
  2. Step 2: Convert to fraction form
    400,504.50/552,697.83 = 221,656.50/x
  3. Step 3: Cross multiply
    400,504.50x = 552,697.83 × 221,656.50
  4. Step 4: Simplify right side
    400,504.50x = 122,509,066,555.40
  5. Step 5: Solve for x
    x = 122,509,066,555.40/400,504.50
  6. Step 6: Final answer
    x = 305,886.87

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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.