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Finding the Fourth Proportional to 288,921.70, 398,709.66 and 161,597.20

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Solution

The fourth proportional to 288,921.70, 398,709.66 and 161,597.20 is: 223,002.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,921.70 : 398,709.66 = 161,597.20 : x
  2. Step 2: Convert to fraction form
    288,921.70/398,709.66 = 161,597.20/x
  3. Step 3: Cross multiply
    288,921.70x = 398,709.66 × 161,597.20
  4. Step 4: Simplify right side
    288,921.70x = 64,430,364,668.95
  5. Step 5: Solve for x
    x = 64,430,364,668.95/288,921.70
  6. Step 6: Final answer
    x = 223,002.86

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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.