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Finding the Fourth Proportional to 413,999.70, 620,999.55 and 398,253.30

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Solution

The fourth proportional to 413,999.70, 620,999.55 and 398,253.30 is: 597,379.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,999.70 : 620,999.55 = 398,253.30 : x
  2. Step 2: Convert to fraction form
    413,999.70/620,999.55 = 398,253.30/x
  3. Step 3: Cross multiply
    413,999.70x = 620,999.55 × 398,253.30
  4. Step 4: Simplify right side
    413,999.70x = 247,315,120,086.02
  5. Step 5: Solve for x
    x = 247,315,120,086.02/413,999.70
  6. Step 6: Final answer
    x = 597,379.95

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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.