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Finding the Fourth Proportional to 419,809.40, 629,714.10 and 403,479.80

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Solution

The fourth proportional to 419,809.40, 629,714.10 and 403,479.80 is: 605,219.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,809.40 : 629,714.10 = 403,479.80 : x
  2. Step 2: Convert to fraction form
    419,809.40/629,714.10 = 403,479.80/x
  3. Step 3: Cross multiply
    419,809.40x = 629,714.10 × 403,479.80
  4. Step 4: Simplify right side
    419,809.40x = 254,076,919,125.18
  5. Step 5: Solve for x
    x = 254,076,919,125.18/419,809.40
  6. Step 6: Final answer
    x = 605,219.70

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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.