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Finding the Fourth Proportional to 393,755.80, 591,216.90 and 305,109.40

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Solution

The fourth proportional to 393,755.80, 591,216.90 and 305,109.40 is: 458,116.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,755.80 : 591,216.90 = 305,109.40 : x
  2. Step 2: Convert to fraction form
    393,755.80/591,216.90 = 305,109.40/x
  3. Step 3: Cross multiply
    393,755.80x = 591,216.90 × 305,109.40
  4. Step 4: Simplify right side
    393,755.80x = 180,385,833,628.86
  5. Step 5: Solve for x
    x = 180,385,833,628.86/393,755.80
  6. Step 6: Final answer
    x = 458,116.00

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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.