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Finding the Fourth Proportional to 511,978.68, 768,310.80 and 212,459.52

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Solution

The fourth proportional to 511,978.68, 768,310.80 and 212,459.52 is: 318,831.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,978.68 : 768,310.80 = 212,459.52 : x
  2. Step 2: Convert to fraction form
    511,978.68/768,310.80 = 212,459.52/x
  3. Step 3: Cross multiply
    511,978.68x = 768,310.80 × 212,459.52
  4. Step 4: Simplify right side
    511,978.68x = 163,234,943,778.82
  5. Step 5: Solve for x
    x = 163,234,943,778.82/511,978.68
  6. Step 6: Final answer
    x = 318,831.53

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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.