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Finding the Fourth Proportional to 510,453.60, 764,902.80 and 431,138.40

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Solution

The fourth proportional to 510,453.60, 764,902.80 and 431,138.40 is: 646,050.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,453.60 : 764,902.80 = 431,138.40 : x
  2. Step 2: Convert to fraction form
    510,453.60/764,902.80 = 431,138.40/x
  3. Step 3: Cross multiply
    510,453.60x = 764,902.80 × 431,138.40
  4. Step 4: Simplify right side
    510,453.60x = 329,778,969,347.52
  5. Step 5: Solve for x
    x = 329,778,969,347.52/510,453.60
  6. Step 6: Final answer
    x = 646,050.82

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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.