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Finding the Fourth Proportional to 380,168, 524,631.84 and 221,192

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Solution

The fourth proportional to 380,168, 524,631.84 and 221,192 is: 305,244.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,168 : 524,631.84 = 221,192 : x
  2. Step 2: Convert to fraction form
    380,168/524,631.84 = 221,192/x
  3. Step 3: Cross multiply
    380,168x = 524,631.84 × 221,192
  4. Step 4: Simplify right side
    380,168x = 116,044,365,953.28
  5. Step 5: Solve for x
    x = 116,044,365,953.28/380,168
  6. Step 6: Final answer
    x = 305,244.96

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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.