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Finding the Fourth Proportional to 281,569.78, 388,471.17 and 160,625.98

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Solution

The fourth proportional to 281,569.78, 388,471.17 and 160,625.98 is: 221,609.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,569.78 : 388,471.17 = 160,625.98 : x
  2. Step 2: Convert to fraction form
    281,569.78/388,471.17 = 160,625.98/x
  3. Step 3: Cross multiply
    281,569.78x = 388,471.17 × 160,625.98
  4. Step 4: Simplify right side
    281,569.78x = 62,398,562,383.00
  5. Step 5: Solve for x
    x = 62,398,562,383.00/281,569.78
  6. Step 6: Final answer
    x = 221,609.59

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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.