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Finding the Fourth Proportional to 287,578.32, 396,851.80 and 166,741.08

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Solution

The fourth proportional to 287,578.32, 396,851.80 and 166,741.08 is: 230,099.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,578.32 : 396,851.80 = 166,741.08 : x
  2. Step 2: Convert to fraction form
    287,578.32/396,851.80 = 166,741.08/x
  3. Step 3: Cross multiply
    287,578.32x = 396,851.80 × 166,741.08
  4. Step 4: Simplify right side
    287,578.32x = 66,171,497,731.94
  5. Step 5: Solve for x
    x = 66,171,497,731.94/287,578.32
  6. Step 6: Final answer
    x = 230,099.05

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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.