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Finding the Fourth Proportional to 400,716.52, 552,989.73 and 219,440.32

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Solution

The fourth proportional to 400,716.52, 552,989.73 and 219,440.32 is: 302,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,716.52 : 552,989.73 = 219,440.32 : x
  2. Step 2: Convert to fraction form
    400,716.52/552,989.73 = 219,440.32/x
  3. Step 3: Cross multiply
    400,716.52x = 552,989.73 × 219,440.32
  4. Step 4: Simplify right side
    400,716.52x = 121,348,243,307.91
  5. Step 5: Solve for x
    x = 121,348,243,307.91/400,716.52
  6. Step 6: Final answer
    x = 302,828.15

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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.