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Finding the Fourth Proportional to 400,582.82, 552,782.94 and 219,259.64

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Solution

The fourth proportional to 400,582.82, 552,782.94 and 219,259.64 is: 302,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,582.82 : 552,782.94 = 219,259.64 : x
  2. Step 2: Convert to fraction form
    400,582.82/552,782.94 = 219,259.64/x
  3. Step 3: Cross multiply
    400,582.82x = 552,782.94 × 219,259.64
  4. Step 4: Simplify right side
    400,582.82x = 121,202,988,422.54
  5. Step 5: Solve for x
    x = 121,202,988,422.54/400,582.82
  6. Step 6: Final answer
    x = 302,566.62

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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.