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Finding the Fourth Proportional to 455,930.59, 683,896.42 and 118,971

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Solution

The fourth proportional to 455,930.59, 683,896.42 and 118,971 is: 178,456.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,930.59 : 683,896.42 = 118,971 : x
  2. Step 2: Convert to fraction form
    455,930.59/683,896.42 = 118,971/x
  3. Step 3: Cross multiply
    455,930.59x = 683,896.42 × 118,971
  4. Step 4: Simplify right side
    455,930.59x = 81,363,840,983.82
  5. Step 5: Solve for x
    x = 81,363,840,983.82/455,930.59
  6. Step 6: Final answer
    x = 178,456.64

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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.