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Finding the Fourth Proportional to 412,793, 618,483.64 and 322,800.97

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Solution

The fourth proportional to 412,793, 618,483.64 and 322,800.97 is: 483,649.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,793 : 618,483.64 = 322,800.97 : x
  2. Step 2: Convert to fraction form
    412,793/618,483.64 = 322,800.97/x
  3. Step 3: Cross multiply
    412,793x = 618,483.64 × 322,800.97
  4. Step 4: Simplify right side
    412,793x = 199,647,114,214.71
  5. Step 5: Solve for x
    x = 199,647,114,214.71/412,793
  6. Step 6: Final answer
    x = 483,649.47

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1.5x scale

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.