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Finding the Fourth Proportional to 400,704, 552,988.80 and 221,856

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Solution

The fourth proportional to 400,704, 552,988.80 and 221,856 is: 306,170.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,704 : 552,988.80 = 221,856 : x
  2. Step 2: Convert to fraction form
    400,704/552,988.80 = 221,856/x
  3. Step 3: Cross multiply
    400,704x = 552,988.80 × 221,856
  4. Step 4: Simplify right side
    400,704x = 122,683,883,212.80
  5. Step 5: Solve for x
    x = 122,683,883,212.80/400,704
  6. Step 6: Final answer
    x = 306,170.85

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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.