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Finding the Fourth Proportional to 509,749.44, 703,649.28 and 339,921.60

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Solution

The fourth proportional to 509,749.44, 703,649.28 and 339,921.60 is: 469,221.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,749.44 : 703,649.28 = 339,921.60 : x
  2. Step 2: Convert to fraction form
    509,749.44/703,649.28 = 339,921.60/x
  3. Step 3: Cross multiply
    509,749.44x = 703,649.28 × 339,921.60
  4. Step 4: Simplify right side
    509,749.44x = 239,185,589,096.45
  5. Step 5: Solve for x
    x = 239,185,589,096.45/509,749.44
  6. Step 6: Final answer
    x = 469,221.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.