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Finding the Fourth Proportional to 282,390.69, 389,701.28 and 161,524.51

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Solution

The fourth proportional to 282,390.69, 389,701.28 and 161,524.51 is: 222,905.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,390.69 : 389,701.28 = 161,524.51 : x
  2. Step 2: Convert to fraction form
    282,390.69/389,701.28 = 161,524.51/x
  3. Step 3: Cross multiply
    282,390.69x = 389,701.28 × 161,524.51
  4. Step 4: Simplify right side
    282,390.69x = 62,946,308,298.37
  5. Step 5: Solve for x
    x = 62,946,308,298.37/282,390.69
  6. Step 6: Final answer
    x = 222,905.04

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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.