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Finding the Fourth Proportional to 705,774.72, 1,058,067 and 306,114.60

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Solution

The fourth proportional to 705,774.72, 1,058,067 and 306,114.60 is: 458,913.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,774.72 : 1,058,067 = 306,114.60 : x
  2. Step 2: Convert to fraction form
    705,774.72/1,058,067 = 306,114.60/x
  3. Step 3: Cross multiply
    705,774.72x = 1,058,067 × 306,114.60
  4. Step 4: Simplify right side
    705,774.72x = 323,889,756,478.20
  5. Step 5: Solve for x
    x = 323,889,756,478.20/705,774.72
  6. Step 6: Final answer
    x = 458,913.80

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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.