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Finding the Fourth Proportional to 413,910.72, 620,531.22 and 129,454.92

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Solution

The fourth proportional to 413,910.72, 620,531.22 and 129,454.92 is: 194,077.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,910.72 : 620,531.22 = 129,454.92 : x
  2. Step 2: Convert to fraction form
    413,910.72/620,531.22 = 129,454.92/x
  3. Step 3: Cross multiply
    413,910.72x = 620,531.22 × 129,454.92
  4. Step 4: Simplify right side
    413,910.72x = 80,330,819,442.60
  5. Step 5: Solve for x
    x = 80,330,819,442.60/413,910.72
  6. Step 6: Final answer
    x = 194,077.65

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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.