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Finding the Fourth Proportional to 221,482.92, 305,540.08 and 144,968.32

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Solution

The fourth proportional to 221,482.92, 305,540.08 and 144,968.32 is: 199,986.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,482.92 : 305,540.08 = 144,968.32 : x
  2. Step 2: Convert to fraction form
    221,482.92/305,540.08 = 144,968.32/x
  3. Step 3: Cross multiply
    221,482.92x = 305,540.08 × 144,968.32
  4. Step 4: Simplify right side
    221,482.92x = 44,293,632,090.27
  5. Step 5: Solve for x
    x = 44,293,632,090.27/221,482.92
  6. Step 6: Final answer
    x = 199,986.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.