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Finding the Fourth Proportional to 287,803.80, 397,207.41 and 166,920.11

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Solution

The fourth proportional to 287,803.80, 397,207.41 and 166,920.11 is: 230,371.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,803.80 : 397,207.41 = 166,920.11 : x
  2. Step 2: Convert to fraction form
    287,803.80/397,207.41 = 166,920.11/x
  3. Step 3: Cross multiply
    287,803.80x = 397,207.41 × 166,920.11
  4. Step 4: Simplify right side
    287,803.80x = 66,301,904,937.08
  5. Step 5: Solve for x
    x = 66,301,904,937.08/287,803.80
  6. Step 6: Final answer
    x = 230,371.89

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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.