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Finding the Fourth Proportional to 282,432, 389,790.72 and 163,200

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Solution

The fourth proportional to 282,432, 389,790.72 and 163,200 is: 225,235.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,432 : 389,790.72 = 163,200 : x
  2. Step 2: Convert to fraction form
    282,432/389,790.72 = 163,200/x
  3. Step 3: Cross multiply
    282,432x = 389,790.72 × 163,200
  4. Step 4: Simplify right side
    282,432x = 63,613,845,504.00
  5. Step 5: Solve for x
    x = 63,613,845,504.00/282,432
  6. Step 6: Final answer
    x = 225,235.97

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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.