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Finding the Fourth Proportional to 204,859.70, 307,289.55 and 194,722.10

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Solution

The fourth proportional to 204,859.70, 307,289.55 and 194,722.10 is: 292,083.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,859.70 : 307,289.55 = 194,722.10 : x
  2. Step 2: Convert to fraction form
    204,859.70/307,289.55 = 194,722.10/x
  3. Step 3: Cross multiply
    204,859.70x = 307,289.55 × 194,722.10
  4. Step 4: Simplify right side
    204,859.70x = 59,836,066,484.06
  5. Step 5: Solve for x
    x = 59,836,066,484.06/204,859.70
  6. Step 6: Final answer
    x = 292,083.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.