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Finding the Fourth Proportional to 489,200.10, 733,800.15 and 419,216.10

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Solution

The fourth proportional to 489,200.10, 733,800.15 and 419,216.10 is: 628,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,200.10 : 733,800.15 = 419,216.10 : x
  2. Step 2: Convert to fraction form
    489,200.10/733,800.15 = 419,216.10/x
  3. Step 3: Cross multiply
    489,200.10x = 733,800.15 × 419,216.10
  4. Step 4: Simplify right side
    489,200.10x = 307,620,837,062.42
  5. Step 5: Solve for x
    x = 307,620,837,062.42/489,200.10
  6. Step 6: Final answer
    x = 628,824.15

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Similar ratio
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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.