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Finding the Fourth Proportional to 213,618.54, 320,147.51 and 157,194.45

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Solution

The fourth proportional to 213,618.54, 320,147.51 and 157,194.45 is: 235,585.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,618.54 : 320,147.51 = 157,194.45 : x
  2. Step 2: Convert to fraction form
    213,618.54/320,147.51 = 157,194.45/x
  3. Step 3: Cross multiply
    213,618.54x = 320,147.51 × 157,194.45
  4. Step 4: Simplify right side
    213,618.54x = 50,325,410,967.35
  5. Step 5: Solve for x
    x = 50,325,410,967.35/213,618.54
  6. Step 6: Final answer
    x = 235,585.40

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1.5x scale

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.