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Finding the Fourth Proportional to 510,987.44, 766,445.52 and 191,078.48

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Solution

The fourth proportional to 510,987.44, 766,445.52 and 191,078.48 is: 286,604.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,987.44 : 766,445.52 = 191,078.48 : x
  2. Step 2: Convert to fraction form
    510,987.44/766,445.52 = 191,078.48/x
  3. Step 3: Cross multiply
    510,987.44x = 766,445.52 × 191,078.48
  4. Step 4: Simplify right side
    510,987.44x = 146,451,244,964.41
  5. Step 5: Solve for x
    x = 146,451,244,964.41/510,987.44
  6. Step 6: Final answer
    x = 286,604.39

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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.