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Finding the Fourth Proportional to 287,913.82, 397,321.32 and 167,079.64

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Solution

The fourth proportional to 287,913.82, 397,321.32 and 167,079.64 is: 230,570.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,913.82 : 397,321.32 = 167,079.64 : x
  2. Step 2: Convert to fraction form
    287,913.82/397,321.32 = 167,079.64/x
  3. Step 3: Cross multiply
    287,913.82x = 397,321.32 × 167,079.64
  4. Step 4: Simplify right side
    287,913.82x = 66,384,303,109.92
  5. Step 5: Solve for x
    x = 66,384,303,109.92/287,913.82
  6. Step 6: Final answer
    x = 230,570.05

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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.