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Finding the Fourth Proportional to 510,893.16, 764,969.26 and 285,612

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Solution

The fourth proportional to 510,893.16, 764,969.26 and 285,612 is: 427,651.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,893.16 : 764,969.26 = 285,612 : x
  2. Step 2: Convert to fraction form
    510,893.16/764,969.26 = 285,612/x
  3. Step 3: Cross multiply
    510,893.16x = 764,969.26 × 285,612
  4. Step 4: Simplify right side
    510,893.16x = 218,484,400,287.12
  5. Step 5: Solve for x
    x = 218,484,400,287.12/510,893.16
  6. Step 6: Final answer
    x = 427,651.84

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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.