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Finding the Fourth Proportional to 808,843.70, 1,214,249.70 and 409,278.80

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Solution

The fourth proportional to 808,843.70, 1,214,249.70 and 409,278.80 is: 614,416.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,843.70 : 1,214,249.70 = 409,278.80 : x
  2. Step 2: Convert to fraction form
    808,843.70/1,214,249.70 = 409,278.80/x
  3. Step 3: Cross multiply
    808,843.70x = 1,214,249.70 × 409,278.80
  4. Step 4: Simplify right side
    808,843.70x = 496,966,660,116.36
  5. Step 5: Solve for x
    x = 496,966,660,116.36/808,843.70
  6. Step 6: Final answer
    x = 614,416.18

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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.