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Finding the Fourth Proportional to 417,978.28, 576,814.26 and 226,995.40

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Solution

The fourth proportional to 417,978.28, 576,814.26 and 226,995.40 is: 313,255.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,978.28 : 576,814.26 = 226,995.40 : x
  2. Step 2: Convert to fraction form
    417,978.28/576,814.26 = 226,995.40/x
  3. Step 3: Cross multiply
    417,978.28x = 576,814.26 × 226,995.40
  4. Step 4: Simplify right side
    417,978.28x = 130,934,183,674.40
  5. Step 5: Solve for x
    x = 130,934,183,674.40/417,978.28
  6. Step 6: Final answer
    x = 313,255.95

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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.