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Finding the Fourth Proportional to 400,782.48, 553,054.48 and 219,496.58

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Solution

The fourth proportional to 400,782.48, 553,054.48 and 219,496.58 is: 302,891.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,782.48 : 553,054.48 = 219,496.58 : x
  2. Step 2: Convert to fraction form
    400,782.48/553,054.48 = 219,496.58/x
  3. Step 3: Cross multiply
    400,782.48x = 553,054.48 × 219,496.58
  4. Step 4: Simplify right side
    400,782.48x = 121,393,570,019.22
  5. Step 5: Solve for x
    x = 121,393,570,019.22/400,782.48
  6. Step 6: Final answer
    x = 302,891.41

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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.