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Finding the Fourth Proportional to 305,056, 420,977.28 and 185,824

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Solution

The fourth proportional to 305,056, 420,977.28 and 185,824 is: 256,437.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,056 : 420,977.28 = 185,824 : x
  2. Step 2: Convert to fraction form
    305,056/420,977.28 = 185,824/x
  3. Step 3: Cross multiply
    305,056x = 420,977.28 × 185,824
  4. Step 4: Simplify right side
    305,056x = 78,227,682,078.72
  5. Step 5: Solve for x
    x = 78,227,682,078.72/305,056
  6. Step 6: Final answer
    x = 256,437.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.