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Finding the Fourth Proportional to 455,429.88, 683,146.80 and 189,190.14

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Solution

The fourth proportional to 455,429.88, 683,146.80 and 189,190.14 is: 283,786.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,429.88 : 683,146.80 = 189,190.14 : x
  2. Step 2: Convert to fraction form
    455,429.88/683,146.80 = 189,190.14/x
  3. Step 3: Cross multiply
    455,429.88x = 683,146.80 × 189,190.14
  4. Step 4: Simplify right side
    455,429.88x = 129,244,638,732.55
  5. Step 5: Solve for x
    x = 129,244,638,732.55/455,429.88
  6. Step 6: Final answer
    x = 283,786.03

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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.