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Finding the Fourth Proportional to 455,815.20, 684,338.40 and 266,469.60

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Solution

The fourth proportional to 455,815.20, 684,338.40 and 266,469.60 is: 400,064.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,815.20 : 684,338.40 = 266,469.60 : x
  2. Step 2: Convert to fraction form
    455,815.20/684,338.40 = 266,469.60/x
  3. Step 3: Cross multiply
    455,815.20x = 684,338.40 × 266,469.60
  4. Step 4: Simplify right side
    455,815.20x = 182,355,379,712.64
  5. Step 5: Solve for x
    x = 182,355,379,712.64/455,815.20
  6. Step 6: Final answer
    x = 400,064.28

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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.