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Finding the Fourth Proportional to 400,312, 552,448 and 221,464

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Solution

The fourth proportional to 400,312, 552,448 and 221,464 is: 305,629.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,312 : 552,448 = 221,464 : x
  2. Step 2: Convert to fraction form
    400,312/552,448 = 221,464/x
  3. Step 3: Cross multiply
    400,312x = 552,448 × 221,464
  4. Step 4: Simplify right side
    400,312x = 122,347,343,872
  5. Step 5: Solve for x
    x = 122,347,343,872/400,312
  6. Step 6: Final answer
    x = 305,629.97

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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.