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Finding the Fourth Proportional to 287,722.33, 396,978.91 and 163,541.57

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Solution

The fourth proportional to 287,722.33, 396,978.91 and 163,541.57 is: 225,643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,722.33 : 396,978.91 = 163,541.57 : x
  2. Step 2: Convert to fraction form
    287,722.33/396,978.91 = 163,541.57/x
  3. Step 3: Cross multiply
    287,722.33x = 396,978.91 × 163,541.57
  4. Step 4: Simplify right side
    287,722.33x = 64,922,551,804.54
  5. Step 5: Solve for x
    x = 64,922,551,804.54/287,722.33
  6. Step 6: Final answer
    x = 225,643.08

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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.