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Finding the Fourth Proportional to 417,853.79, 576,638.21 and 226,867.20

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Solution

The fourth proportional to 417,853.79, 576,638.21 and 226,867.20 is: 313,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,853.79 : 576,638.21 = 226,867.20 : x
  2. Step 2: Convert to fraction form
    417,853.79/576,638.21 = 226,867.20/x
  3. Step 3: Cross multiply
    417,853.79x = 576,638.21 × 226,867.20
  4. Step 4: Simplify right side
    417,853.79x = 130,820,294,981.38
  5. Step 5: Solve for x
    x = 130,820,294,981.38/417,853.79
  6. Step 6: Final answer
    x = 313,076.73

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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.