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Finding the Fourth Proportional to 287,892.91, 397,292.79 and 160,576.75

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Solution

The fourth proportional to 287,892.91, 397,292.79 and 160,576.75 is: 221,596.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,892.91 : 397,292.79 = 160,576.75 : x
  2. Step 2: Convert to fraction form
    287,892.91/397,292.79 = 160,576.75/x
  3. Step 3: Cross multiply
    287,892.91x = 397,292.79 × 160,576.75
  4. Step 4: Simplify right side
    287,892.91x = 63,795,985,016.63
  5. Step 5: Solve for x
    x = 63,795,985,016.63/287,892.91
  6. Step 6: Final answer
    x = 221,596.24

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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.