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Finding the Fourth Proportional to 315,408.60, 473,112.90 and 197,310.60

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Solution

The fourth proportional to 315,408.60, 473,112.90 and 197,310.60 is: 295,965.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,408.60 : 473,112.90 = 197,310.60 : x
  2. Step 2: Convert to fraction form
    315,408.60/473,112.90 = 197,310.60/x
  3. Step 3: Cross multiply
    315,408.60x = 473,112.90 × 197,310.60
  4. Step 4: Simplify right side
    315,408.60x = 93,350,190,166.74
  5. Step 5: Solve for x
    x = 93,350,190,166.74/315,408.60
  6. Step 6: Final answer
    x = 295,965.90

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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.