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Finding the Fourth Proportional to 467,106, 644,711.28 and 305,867.40

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Solution

The fourth proportional to 467,106, 644,711.28 and 305,867.40 is: 422,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,106 : 644,711.28 = 305,867.40 : x
  2. Step 2: Convert to fraction form
    467,106/644,711.28 = 305,867.40/x
  3. Step 3: Cross multiply
    467,106x = 644,711.28 × 305,867.40
  4. Step 4: Simplify right side
    467,106x = 197,196,162,964.27
  5. Step 5: Solve for x
    x = 197,196,162,964.27/467,106
  6. Step 6: Final answer
    x = 422,165.77

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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.