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Finding the Fourth Proportional to 413,636.20, 620,454.30 and 371,645.80

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Solution

The fourth proportional to 413,636.20, 620,454.30 and 371,645.80 is: 557,468.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,636.20 : 620,454.30 = 371,645.80 : x
  2. Step 2: Convert to fraction form
    413,636.20/620,454.30 = 371,645.80/x
  3. Step 3: Cross multiply
    413,636.20x = 620,454.30 × 371,645.80
  4. Step 4: Simplify right side
    413,636.20x = 230,589,234,686.94
  5. Step 5: Solve for x
    x = 230,589,234,686.94/413,636.20
  6. Step 6: Final answer
    x = 557,468.70

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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.