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Finding the Fourth Proportional to 471,429.28, 650,560 and 256,564.80

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Solution

The fourth proportional to 471,429.28, 650,560 and 256,564.80 is: 354,052.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,429.28 : 650,560 = 256,564.80 : x
  2. Step 2: Convert to fraction form
    471,429.28/650,560 = 256,564.80/x
  3. Step 3: Cross multiply
    471,429.28x = 650,560 × 256,564.80
  4. Step 4: Simplify right side
    471,429.28x = 166,910,796,288
  5. Step 5: Solve for x
    x = 166,910,796,288/471,429.28
  6. Step 6: Final answer
    x = 354,052.67

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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.