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Finding the Fourth Proportional to 288,397.44, 397,962.72 and 161,069.76

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Solution

The fourth proportional to 288,397.44, 397,962.72 and 161,069.76 is: 222,261.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,397.44 : 397,962.72 = 161,069.76 : x
  2. Step 2: Convert to fraction form
    288,397.44/397,962.72 = 161,069.76/x
  3. Step 3: Cross multiply
    288,397.44x = 397,962.72 × 161,069.76
  4. Step 4: Simplify right side
    288,397.44x = 64,099,759,799.35
  5. Step 5: Solve for x
    x = 64,099,759,799.35/288,397.44
  6. Step 6: Final answer
    x = 222,261.89

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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.