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Finding the Fourth Proportional to 509,636.85, 764,459.87 and 154,650.86

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Solution

The fourth proportional to 509,636.85, 764,459.87 and 154,650.86 is: 231,977.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,636.85 : 764,459.87 = 154,650.86 : x
  2. Step 2: Convert to fraction form
    509,636.85/764,459.87 = 154,650.86/x
  3. Step 3: Cross multiply
    509,636.85x = 764,459.87 × 154,650.86
  4. Step 4: Simplify right side
    509,636.85x = 118,224,371,735.44
  5. Step 5: Solve for x
    x = 118,224,371,735.44/509,636.85
  6. Step 6: Final answer
    x = 231,977.68

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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.