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Finding the Fourth Proportional to 400,412.16, 552,585.60 and 221,564.16

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Solution

The fourth proportional to 400,412.16, 552,585.60 and 221,564.16 is: 305,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,412.16 : 552,585.60 = 221,564.16 : x
  2. Step 2: Convert to fraction form
    400,412.16/552,585.60 = 221,564.16/x
  3. Step 3: Cross multiply
    400,412.16x = 552,585.60 × 221,564.16
  4. Step 4: Simplify right side
    400,412.16x = 122,433,164,292.10
  5. Step 5: Solve for x
    x = 122,433,164,292.10/400,412.16
  6. Step 6: Final answer
    x = 305,767.85

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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.