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Finding the Fourth Proportional to 808,608.70, 1,213,897.20 and 409,043.80

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Solution

The fourth proportional to 808,608.70, 1,213,897.20 and 409,043.80 is: 614,063.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,608.70 : 1,213,897.20 = 409,043.80 : x
  2. Step 2: Convert to fraction form
    808,608.70/1,213,897.20 = 409,043.80/x
  3. Step 3: Cross multiply
    808,608.70x = 1,213,897.20 × 409,043.80
  4. Step 4: Simplify right side
    808,608.70x = 496,537,123,497.36
  5. Step 5: Solve for x
    x = 496,537,123,497.36/808,608.70
  6. Step 6: Final answer
    x = 614,063.54

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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.