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Finding the Fourth Proportional to 281,141.82, 387,966.07 and 160,322

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Solution

The fourth proportional to 281,141.82, 387,966.07 and 160,322 is: 221,238.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,141.82 : 387,966.07 = 160,322 : x
  2. Step 2: Convert to fraction form
    281,141.82/387,966.07 = 160,322/x
  3. Step 3: Cross multiply
    281,141.82x = 387,966.07 × 160,322
  4. Step 4: Simplify right side
    281,141.82x = 62,199,496,274.54
  5. Step 5: Solve for x
    x = 62,199,496,274.54/281,141.82
  6. Step 6: Final answer
    x = 221,238.86

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1.5x scale

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.