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Finding the Fourth Proportional to 413,876.40, 620,922.60 and 133,400.40

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Solution

The fourth proportional to 413,876.40, 620,922.60 and 133,400.40 is: 200,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,876.40 : 620,922.60 = 133,400.40 : x
  2. Step 2: Convert to fraction form
    413,876.40/620,922.60 = 133,400.40/x
  3. Step 3: Cross multiply
    413,876.40x = 620,922.60 × 133,400.40
  4. Step 4: Simplify right side
    413,876.40x = 82,831,323,209.04
  5. Step 5: Solve for x
    x = 82,831,323,209.04/413,876.40
  6. Step 6: Final answer
    x = 200,135.41

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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.