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Finding the Fourth Proportional to 287,538.69, 396,804.98 and 166,751.60

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Solution

The fourth proportional to 287,538.69, 396,804.98 and 166,751.60 is: 230,118.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,538.69 : 396,804.98 = 166,751.60 : x
  2. Step 2: Convert to fraction form
    287,538.69/396,804.98 = 166,751.60/x
  3. Step 3: Cross multiply
    287,538.69x = 396,804.98 × 166,751.60
  4. Step 4: Simplify right side
    287,538.69x = 66,167,862,485.19
  5. Step 5: Solve for x
    x = 66,167,862,485.19/287,538.69
  6. Step 6: Final answer
    x = 230,118.12

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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.