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Finding the Fourth Proportional to 307,690.20, 461,729.70 and 181,330.20

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Solution

The fourth proportional to 307,690.20, 461,729.70 and 181,330.20 is: 272,109.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,690.20 : 461,729.70 = 181,330.20 : x
  2. Step 2: Convert to fraction form
    307,690.20/461,729.70 = 181,330.20/x
  3. Step 3: Cross multiply
    307,690.20x = 461,729.70 × 181,330.20
  4. Step 4: Simplify right side
    307,690.20x = 83,725,538,846.94
  5. Step 5: Solve for x
    x = 83,725,538,846.94/307,690.20
  6. Step 6: Final answer
    x = 272,109.87

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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.