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Finding the Fourth Proportional to 517,662.28, 776,497.74 and 143,714.44

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Solution

The fourth proportional to 517,662.28, 776,497.74 and 143,714.44 is: 215,572.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,662.28 : 776,497.74 = 143,714.44 : x
  2. Step 2: Convert to fraction form
    517,662.28/776,497.74 = 143,714.44/x
  3. Step 3: Cross multiply
    517,662.28x = 776,497.74 × 143,714.44
  4. Step 4: Simplify right side
    517,662.28x = 111,593,937,865.37
  5. Step 5: Solve for x
    x = 111,593,937,865.37/517,662.28
  6. Step 6: Final answer
    x = 215,572.86

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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.