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Finding the Fourth Proportional to 510,080.60, 765,120.90 and 454,093.40

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Solution

The fourth proportional to 510,080.60, 765,120.90 and 454,093.40 is: 681,140.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,080.60 : 765,120.90 = 454,093.40 : x
  2. Step 2: Convert to fraction form
    510,080.60/765,120.90 = 454,093.40/x
  3. Step 3: Cross multiply
    510,080.60x = 765,120.90 × 454,093.40
  4. Step 4: Simplify right side
    510,080.60x = 347,436,350,892.06
  5. Step 5: Solve for x
    x = 347,436,350,892.06/510,080.60
  6. Step 6: Final answer
    x = 681,140.10

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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.