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Finding the Fourth Proportional to 455,220.48, 683,007.30 and 188,913

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Solution

The fourth proportional to 455,220.48, 683,007.30 and 188,913 is: 283,442.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,220.48 : 683,007.30 = 188,913 : x
  2. Step 2: Convert to fraction form
    455,220.48/683,007.30 = 188,913/x
  3. Step 3: Cross multiply
    455,220.48x = 683,007.30 × 188,913
  4. Step 4: Simplify right side
    455,220.48x = 129,028,958,064.90
  5. Step 5: Solve for x
    x = 129,028,958,064.90/455,220.48
  6. Step 6: Final answer
    x = 283,442.78

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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.