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Finding the Fourth Proportional to 282,395.40, 389,732.58 and 161,512.98

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Solution

The fourth proportional to 282,395.40, 389,732.58 and 161,512.98 is: 222,903.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,395.40 : 389,732.58 = 161,512.98 : x
  2. Step 2: Convert to fraction form
    282,395.40/389,732.58 = 161,512.98/x
  3. Step 3: Cross multiply
    282,395.40x = 389,732.58 × 161,512.98
  4. Step 4: Simplify right side
    282,395.40x = 62,946,870,398.89
  5. Step 5: Solve for x
    x = 62,946,870,398.89/282,395.40
  6. Step 6: Final answer
    x = 222,903.31

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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.