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Finding the Fourth Proportional to 285,820.44, 428,356.92 and 117,143.28

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Solution

The fourth proportional to 285,820.44, 428,356.92 and 117,143.28 is: 175,561.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    285,820.44 : 428,356.92 = 117,143.28 : x
  2. Step 2: Convert to fraction form
    285,820.44/428,356.92 = 117,143.28/x
  3. Step 3: Cross multiply
    285,820.44x = 428,356.92 × 117,143.28
  4. Step 4: Simplify right side
    285,820.44x = 50,179,134,619.50
  5. Step 5: Solve for x
    x = 50,179,134,619.50/285,820.44
  6. Step 6: Final answer
    x = 175,561.74

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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.