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Finding the Fourth Proportional to 510,893.85, 764,970.29 and 285,612.68

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Solution

The fourth proportional to 510,893.85, 764,970.29 and 285,612.68 is: 427,652.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    510,893.85 : 764,970.29 = 285,612.68 : x
  2. Step 2: Convert to fraction form
    510,893.85/764,970.29 = 285,612.68/x
  3. Step 3: Cross multiply
    510,893.85x = 764,970.29 × 285,612.68
  4. Step 4: Simplify right side
    510,893.85x = 218,485,217,809.26
  5. Step 5: Solve for x
    x = 218,485,217,809.26/510,893.85
  6. Step 6: Final answer
    x = 427,652.86

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1.5x scale

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.