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Finding the Fourth Proportional to 400,512, 552,708.18 and 221,664

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Solution

The fourth proportional to 400,512, 552,708.18 and 221,664 is: 305,897.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,512 : 552,708.18 = 221,664 : x
  2. Step 2: Convert to fraction form
    400,512/552,708.18 = 221,664/x
  3. Step 3: Cross multiply
    400,512x = 552,708.18 × 221,664
  4. Step 4: Simplify right side
    400,512x = 122,515,506,011.52
  5. Step 5: Solve for x
    x = 122,515,506,011.52/400,512
  6. Step 6: Final answer
    x = 305,897.22

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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.