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Finding the Fourth Proportional to 735,477.80, 1,102,431.90 and 419,253.80

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Solution

The fourth proportional to 735,477.80, 1,102,431.90 and 419,253.80 is: 628,433.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,477.80 : 1,102,431.90 = 419,253.80 : x
  2. Step 2: Convert to fraction form
    735,477.80/1,102,431.90 = 419,253.80/x
  3. Step 3: Cross multiply
    735,477.80x = 1,102,431.90 × 419,253.80
  4. Step 4: Simplify right side
    735,477.80x = 462,198,763,316.22
  5. Step 5: Solve for x
    x = 462,198,763,316.22/735,477.80
  6. Step 6: Final answer
    x = 628,433.33

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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.