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Finding the Fourth Proportional to 288,164.64, 397,619.60 and 160,840.24

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Solution

The fourth proportional to 288,164.64, 397,619.60 and 160,840.24 is: 221,932.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,164.64 : 397,619.60 = 160,840.24 : x
  2. Step 2: Convert to fraction form
    288,164.64/397,619.60 = 160,840.24/x
  3. Step 3: Cross multiply
    288,164.64x = 397,619.60 × 160,840.24
  4. Step 4: Simplify right side
    288,164.64x = 63,953,231,892.70
  5. Step 5: Solve for x
    x = 63,953,231,892.70/288,164.64
  6. Step 6: Final answer
    x = 221,932.96

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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.