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Finding the Fourth Proportional to 315,408.20, 473,112.30 and 203,433.80

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Solution

The fourth proportional to 315,408.20, 473,112.30 and 203,433.80 is: 305,150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,408.20 : 473,112.30 = 203,433.80 : x
  2. Step 2: Convert to fraction form
    315,408.20/473,112.30 = 203,433.80/x
  3. Step 3: Cross multiply
    315,408.20x = 473,112.30 × 203,433.80
  4. Step 4: Simplify right side
    315,408.20x = 96,247,033,015.74
  5. Step 5: Solve for x
    x = 96,247,033,015.74/315,408.20
  6. Step 6: Final answer
    x = 305,150.70

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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.