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Finding the Fourth Proportional to 385,270.62, 531,713.48 and 221,932.77

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Solution

The fourth proportional to 385,270.62, 531,713.48 and 221,932.77 is: 306,290.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,270.62 : 531,713.48 = 221,932.77 : x
  2. Step 2: Convert to fraction form
    385,270.62/531,713.48 = 221,932.77/x
  3. Step 3: Cross multiply
    385,270.62x = 531,713.48 × 221,932.77
  4. Step 4: Simplify right side
    385,270.62x = 118,004,644,353.08
  5. Step 5: Solve for x
    x = 118,004,644,353.08/385,270.62
  6. Step 6: Final answer
    x = 306,290.28

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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.