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Finding the Fourth Proportional to 644,509.71, 965,847.85 and 474,694.56

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Solution

The fourth proportional to 644,509.71, 965,847.85 and 474,694.56 is: 711,366.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,509.71 : 965,847.85 = 474,694.56 : x
  2. Step 2: Convert to fraction form
    644,509.71/965,847.85 = 474,694.56/x
  3. Step 3: Cross multiply
    644,509.71x = 965,847.85 × 474,694.56
  4. Step 4: Simplify right side
    644,509.71x = 458,482,718,995.96
  5. Step 5: Solve for x
    x = 458,482,718,995.96/644,509.71
  6. Step 6: Final answer
    x = 711,366.66

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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.