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Finding the Fourth Proportional to 458,051,410.60, 686,629,218.30 and 409,678,469.80

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Solution

The fourth proportional to 458,051,410.60, 686,629,218.30 and 409,678,469.80 is: 614,117,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,051,410.60 : 686,629,218.30 = 409,678,469.80 : x
  2. Step 2: Convert to fraction form
    458,051,410.60/686,629,218.30 = 409,678,469.80/x
  3. Step 3: Cross multiply
    458,051,410.60x = 686,629,218.30 × 409,678,469.80
  4. Step 4: Simplify right side
    458,051,410.60x = 281,297,207,473,114,144
  5. Step 5: Solve for x
    x = 281,297,207,473,114,144/458,051,410.60
  6. Step 6: Final answer
    x = 614,117,107.74

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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.