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Finding the Fourth Proportional to 705,778.72, 1,058,073 and 306,118.60

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Solution

The fourth proportional to 705,778.72, 1,058,073 and 306,118.60 is: 458,919.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,778.72 : 1,058,073 = 306,118.60 : x
  2. Step 2: Convert to fraction form
    705,778.72/1,058,073 = 306,118.60/x
  3. Step 3: Cross multiply
    705,778.72x = 1,058,073 × 306,118.60
  4. Step 4: Simplify right side
    705,778.72x = 323,895,825,457.80
  5. Step 5: Solve for x
    x = 323,895,825,457.80/705,778.72
  6. Step 6: Final answer
    x = 458,919.79

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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.