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Finding the Fourth Proportional to 400,789.44, 553,089.42 and 219,501.80

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Solution

The fourth proportional to 400,789.44, 553,089.42 and 219,501.80 is: 302,912.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,789.44 : 553,089.42 = 219,501.80 : x
  2. Step 2: Convert to fraction form
    400,789.44/553,089.42 = 219,501.80/x
  3. Step 3: Cross multiply
    400,789.44x = 553,089.42 × 219,501.80
  4. Step 4: Simplify right side
    400,789.44x = 121,404,120,485.51
  5. Step 5: Solve for x
    x = 121,404,120,485.51/400,789.44
  6. Step 6: Final answer
    x = 302,912.47

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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.