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Finding the Fourth Proportional to 647,999.20, 971,869.20 and 311,039.20

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Solution

The fourth proportional to 647,999.20, 971,869.20 and 311,039.20 is: 466,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,999.20 : 971,869.20 = 311,039.20 : x
  2. Step 2: Convert to fraction form
    647,999.20/971,869.20 = 311,039.20/x
  3. Step 3: Cross multiply
    647,999.20x = 971,869.20 × 311,039.20
  4. Step 4: Simplify right side
    647,999.20x = 302,289,418,472.64
  5. Step 5: Solve for x
    x = 302,289,418,472.64/647,999.20
  6. Step 6: Final answer
    x = 466,496.59

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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.