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Finding the Fourth Proportional to 307,767.60, 461,262.60 and 274,330.80

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Solution

The fourth proportional to 307,767.60, 461,262.60 and 274,330.80 is: 411,149.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,767.60 : 461,262.60 = 274,330.80 : x
  2. Step 2: Convert to fraction form
    307,767.60/461,262.60 = 274,330.80/x
  3. Step 3: Cross multiply
    307,767.60x = 461,262.60 × 274,330.80
  4. Step 4: Simplify right side
    307,767.60x = 126,538,538,068.08
  5. Step 5: Solve for x
    x = 126,538,538,068.08/307,767.60
  6. Step 6: Final answer
    x = 411,149.64

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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.