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Finding the Fourth Proportional to 512,761.20, 768,623.40 and 232,479.60

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Solution

The fourth proportional to 512,761.20, 768,623.40 and 232,479.60 is: 348,484.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,761.20 : 768,623.40 = 232,479.60 : x
  2. Step 2: Convert to fraction form
    512,761.20/768,623.40 = 232,479.60/x
  3. Step 3: Cross multiply
    512,761.20x = 768,623.40 × 232,479.60
  4. Step 4: Simplify right side
    512,761.20x = 178,689,260,582.64
  5. Step 5: Solve for x
    x = 178,689,260,582.64/512,761.20
  6. Step 6: Final answer
    x = 348,484.36

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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.