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Finding the Fourth Proportional to 510,097.20, 764,659.80 and 190,163.40

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Solution

The fourth proportional to 510,097.20, 764,659.80 and 190,163.40 is: 285,063.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,097.20 : 764,659.80 = 190,163.40 : x
  2. Step 2: Convert to fraction form
    510,097.20/764,659.80 = 190,163.40/x
  3. Step 3: Cross multiply
    510,097.20x = 764,659.80 × 190,163.40
  4. Step 4: Simplify right side
    510,097.20x = 145,410,307,411.32
  5. Step 5: Solve for x
    x = 145,410,307,411.32/510,097.20
  6. Step 6: Final answer
    x = 285,063.92

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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.