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Finding the Fourth Proportional to 418,983.28, 578,209.08 and 228,009

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Solution

The fourth proportional to 418,983.28, 578,209.08 and 228,009 is: 314,659.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,983.28 : 578,209.08 = 228,009 : x
  2. Step 2: Convert to fraction form
    418,983.28/578,209.08 = 228,009/x
  3. Step 3: Cross multiply
    418,983.28x = 578,209.08 × 228,009
  4. Step 4: Simplify right side
    418,983.28x = 131,836,874,121.72
  5. Step 5: Solve for x
    x = 131,836,874,121.72/418,983.28
  6. Step 6: Final answer
    x = 314,659.03

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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.