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Finding the Fourth Proportional to 413,999.90, 620,999.85 and 344,015.90

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Solution

The fourth proportional to 413,999.90, 620,999.85 and 344,015.90 is: 516,023.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.90 : 620,999.85 = 344,015.90 : x
  2. Step 2: Convert to fraction form
    413,999.90/620,999.85 = 344,015.90/x
  3. Step 3: Cross multiply
    413,999.90x = 620,999.85 × 344,015.90
  4. Step 4: Simplify right side
    413,999.90x = 213,633,822,297.62
  5. Step 5: Solve for x
    x = 213,633,822,297.62/413,999.90
  6. Step 6: Final answer
    x = 516,023.85

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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.