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Finding the Fourth Proportional to 644,423.60, 965,713.80 and 447,201.20

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Solution

The fourth proportional to 644,423.60, 965,713.80 and 447,201.20 is: 670,162.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,423.60 : 965,713.80 = 447,201.20 : x
  2. Step 2: Convert to fraction form
    644,423.60/965,713.80 = 447,201.20/x
  3. Step 3: Cross multiply
    644,423.60x = 965,713.80 × 447,201.20
  4. Step 4: Simplify right side
    644,423.60x = 431,868,370,216.56
  5. Step 5: Solve for x
    x = 431,868,370,216.56/644,423.60
  6. Step 6: Final answer
    x = 670,162.25

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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.