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Finding the Fourth Proportional to 285,738.58, 428,577.80 and 117,276.72

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Solution

The fourth proportional to 285,738.58, 428,577.80 and 117,276.72 is: 175,902.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,738.58 : 428,577.80 = 117,276.72 : x
  2. Step 2: Convert to fraction form
    285,738.58/428,577.80 = 117,276.72/x
  3. Step 3: Cross multiply
    285,738.58x = 428,577.80 × 117,276.72
  4. Step 4: Simplify right side
    285,738.58x = 50,262,198,648.82
  5. Step 5: Solve for x
    x = 50,262,198,648.82/285,738.58
  6. Step 6: Final answer
    x = 175,902.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.