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Finding the Fourth Proportional to 653,912.20, 980,868.30 and 338,465.80

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Solution

The fourth proportional to 653,912.20, 980,868.30 and 338,465.80 is: 507,698.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,912.20 : 980,868.30 = 338,465.80 : x
  2. Step 2: Convert to fraction form
    653,912.20/980,868.30 = 338,465.80/x
  3. Step 3: Cross multiply
    653,912.20x = 980,868.30 × 338,465.80
  4. Step 4: Simplify right side
    653,912.20x = 331,990,373,854.14
  5. Step 5: Solve for x
    x = 331,990,373,854.14/653,912.20
  6. Step 6: Final answer
    x = 507,698.70

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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.