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Finding the Fourth Proportional to 221,783.62, 305,954.70 and 145,269.60

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Solution

The fourth proportional to 221,783.62, 305,954.70 and 145,269.60 is: 200,402.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,783.62 : 305,954.70 = 145,269.60 : x
  2. Step 2: Convert to fraction form
    221,783.62/305,954.70 = 145,269.60/x
  3. Step 3: Cross multiply
    221,783.62x = 305,954.70 × 145,269.60
  4. Step 4: Simplify right side
    221,783.62x = 44,445,916,887.12
  5. Step 5: Solve for x
    x = 44,445,916,887.12/221,783.62
  6. Step 6: Final answer
    x = 200,402.16

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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.