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Finding the Fourth Proportional to 413,737.20, 620,778.60 and 133,340.40

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Solution

The fourth proportional to 413,737.20, 620,778.60 and 133,340.40 is: 200,066.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,737.20 : 620,778.60 = 133,340.40 : x
  2. Step 2: Convert to fraction form
    413,737.20/620,778.60 = 133,340.40/x
  3. Step 3: Cross multiply
    413,737.20x = 620,778.60 × 133,340.40
  4. Step 4: Simplify right side
    413,737.20x = 82,774,866,835.44
  5. Step 5: Solve for x
    x = 82,774,866,835.44/413,737.20
  6. Step 6: Final answer
    x = 200,066.29

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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.