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Finding the Fourth Proportional to 282,587.54, 389,948.18 and 161,701.11

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Solution

The fourth proportional to 282,587.54, 389,948.18 and 161,701.11 is: 223,134.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,587.54 : 389,948.18 = 161,701.11 : x
  2. Step 2: Convert to fraction form
    282,587.54/389,948.18 = 161,701.11/x
  3. Step 3: Cross multiply
    282,587.54x = 389,948.18 × 161,701.11
  4. Step 4: Simplify right side
    282,587.54x = 63,055,052,739.97
  5. Step 5: Solve for x
    x = 63,055,052,739.97/282,587.54
  6. Step 6: Final answer
    x = 223,134.59

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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.