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Finding the Fourth Proportional to 400,410.54, 552,566.39 and 219,122.46

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Solution

The fourth proportional to 400,410.54, 552,566.39 and 219,122.46 is: 302,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,410.54 : 552,566.39 = 219,122.46 : x
  2. Step 2: Convert to fraction form
    400,410.54/552,566.39 = 219,122.46/x
  3. Step 3: Cross multiply
    400,410.54x = 552,566.39 × 219,122.46
  4. Step 4: Simplify right side
    400,410.54x = 121,079,705,594.51
  5. Step 5: Solve for x
    x = 121,079,705,594.51/400,410.54
  6. Step 6: Final answer
    x = 302,388.91

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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.