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Finding the Fourth Proportional to 511,811.34, 767,388.48 and 212,498.52

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Solution

The fourth proportional to 511,811.34, 767,388.48 and 212,498.52 is: 318,611.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    511,811.34 : 767,388.48 = 212,498.52 : x
  2. Step 2: Convert to fraction form
    511,811.34/767,388.48 = 212,498.52/x
  3. Step 3: Cross multiply
    511,811.34x = 767,388.48 × 212,498.52
  4. Step 4: Simplify right side
    511,811.34x = 163,068,916,265.05
  5. Step 5: Solve for x
    x = 163,068,916,265.05/511,811.34
  6. Step 6: Final answer
    x = 318,611.38

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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.