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Finding the Fourth Proportional to 288,415.92, 398,014.80 and 161,096.40

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Solution

The fourth proportional to 288,415.92, 398,014.80 and 161,096.40 is: 222,313.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,415.92 : 398,014.80 = 161,096.40 : x
  2. Step 2: Convert to fraction form
    288,415.92/398,014.80 = 161,096.40/x
  3. Step 3: Cross multiply
    288,415.92x = 398,014.80 × 161,096.40
  4. Step 4: Simplify right side
    288,415.92x = 64,118,751,426.72
  5. Step 5: Solve for x
    x = 64,118,751,426.72/288,415.92
  6. Step 6: Final answer
    x = 222,313.50

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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.