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Finding the Fourth Proportional to 281,140.82, 387,964.69 and 160,321.00

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Solution

The fourth proportional to 281,140.82, 387,964.69 and 160,321.00 is: 221,237.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,140.82 : 387,964.69 = 160,321.00 : x
  2. Step 2: Convert to fraction form
    281,140.82/387,964.69 = 160,321.00/x
  3. Step 3: Cross multiply
    281,140.82x = 387,964.69 × 160,321.00
  4. Step 4: Simplify right side
    281,140.82x = 62,198,885,331.06
  5. Step 5: Solve for x
    x = 62,198,885,331.06/281,140.82
  6. Step 6: Final answer
    x = 221,237.47

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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.