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Finding the Fourth Proportional to 221,783.02, 305,953.88 and 145,269

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Solution

The fourth proportional to 221,783.02, 305,953.88 and 145,269 is: 200,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,783.02 : 305,953.88 = 145,269 : x
  2. Step 2: Convert to fraction form
    221,783.02/305,953.88 = 145,269/x
  3. Step 3: Cross multiply
    221,783.02x = 305,953.88 × 145,269
  4. Step 4: Simplify right side
    221,783.02x = 44,445,613,467.38
  5. Step 5: Solve for x
    x = 44,445,613,467.38/221,783.02
  6. Step 6: Final answer
    x = 200,401.34

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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.