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Finding the Fourth Proportional to 288,410.92, 398,008.74 and 161,097.64

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Solution

The fourth proportional to 288,410.92, 398,008.74 and 161,097.64 is: 222,315.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,410.92 : 398,008.74 = 161,097.64 : x
  2. Step 2: Convert to fraction form
    288,410.92/398,008.74 = 161,097.64/x
  3. Step 3: Cross multiply
    288,410.92x = 398,008.74 × 161,097.64
  4. Step 4: Simplify right side
    288,410.92x = 64,118,268,713.37
  5. Step 5: Solve for x
    x = 64,118,268,713.37/288,410.92
  6. Step 6: Final answer
    x = 222,315.68

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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.