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Finding the Fourth Proportional to 510,652, 766,327.98 and 178,228

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Solution

The fourth proportional to 510,652, 766,327.98 and 178,228 is: 267,464.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,652 : 766,327.98 = 178,228 : x
  2. Step 2: Convert to fraction form
    510,652/766,327.98 = 178,228/x
  3. Step 3: Cross multiply
    510,652x = 766,327.98 × 178,228
  4. Step 4: Simplify right side
    510,652x = 136,581,103,219.44
  5. Step 5: Solve for x
    x = 136,581,103,219.44/510,652
  6. Step 6: Final answer
    x = 267,464.15

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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.