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Finding the Fourth Proportional to 510,189.68, 764,619 and 317,984.72

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Solution

The fourth proportional to 510,189.68, 764,619 and 317,984.72 is: 476,562.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,189.68 : 764,619 = 317,984.72 : x
  2. Step 2: Convert to fraction form
    510,189.68/764,619 = 317,984.72/x
  3. Step 3: Cross multiply
    510,189.68x = 764,619 × 317,984.72
  4. Step 4: Simplify right side
    510,189.68x = 243,137,158,621.68
  5. Step 5: Solve for x
    x = 243,137,158,621.68/510,189.68
  6. Step 6: Final answer
    x = 476,562.28

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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.