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Finding the Fourth Proportional to 513,908.80, 770,863.20 and 419,430.40

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Solution

The fourth proportional to 513,908.80, 770,863.20 and 419,430.40 is: 629,145.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,908.80 : 770,863.20 = 419,430.40 : x
  2. Step 2: Convert to fraction form
    513,908.80/770,863.20 = 419,430.40/x
  3. Step 3: Cross multiply
    513,908.80x = 770,863.20 × 419,430.40
  4. Step 4: Simplify right side
    513,908.80x = 323,323,460,321.28
  5. Step 5: Solve for x
    x = 323,323,460,321.28/513,908.80
  6. Step 6: Final answer
    x = 629,145.60

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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.