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Finding the Fourth Proportional to 287,891.98, 397,291.46 and 160,575.76

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Solution

The fourth proportional to 287,891.98, 397,291.46 and 160,575.76 is: 221,594.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,891.98 : 397,291.46 = 160,575.76 : x
  2. Step 2: Convert to fraction form
    287,891.98/397,291.46 = 160,575.76/x
  3. Step 3: Cross multiply
    287,891.98x = 397,291.46 × 160,575.76
  4. Step 4: Simplify right side
    287,891.98x = 63,795,378,131.01
  5. Step 5: Solve for x
    x = 63,795,378,131.01/287,891.98
  6. Step 6: Final answer
    x = 221,594.84

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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.