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Finding the Fourth Proportional to 510,081.90, 765,414.45 and 194,765.10

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Solution

The fourth proportional to 510,081.90, 765,414.45 and 194,765.10 is: 292,258.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,081.90 : 765,414.45 = 194,765.10 : x
  2. Step 2: Convert to fraction form
    510,081.90/765,414.45 = 194,765.10/x
  3. Step 3: Cross multiply
    510,081.90x = 765,414.45 × 194,765.10
  4. Step 4: Simplify right side
    510,081.90x = 149,076,021,895.70
  5. Step 5: Solve for x
    x = 149,076,021,895.70/510,081.90
  6. Step 6: Final answer
    x = 292,258.99

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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.