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Finding the Fourth Proportional to 305,460, 458,198.64 and 83,844

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Solution

The fourth proportional to 305,460, 458,198.64 and 83,844 is: 125,768.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,460 : 458,198.64 = 83,844 : x
  2. Step 2: Convert to fraction form
    305,460/458,198.64 = 83,844/x
  3. Step 3: Cross multiply
    305,460x = 458,198.64 × 83,844
  4. Step 4: Simplify right side
    305,460x = 38,417,206,772.16
  5. Step 5: Solve for x
    x = 38,417,206,772.16/305,460
  6. Step 6: Final answer
    x = 125,768.37

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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.