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Finding the Fourth Proportional to 288,423.70, 398,022.31 and 159,361.76

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Solution

The fourth proportional to 288,423.70, 398,022.31 and 159,361.76 is: 219,917.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,423.70 : 398,022.31 = 159,361.76 : x
  2. Step 2: Convert to fraction form
    288,423.70/398,022.31 = 159,361.76/x
  3. Step 3: Cross multiply
    288,423.70x = 398,022.31 × 159,361.76
  4. Step 4: Simplify right side
    288,423.70x = 63,429,535,840.87
  5. Step 5: Solve for x
    x = 63,429,535,840.87/288,423.70
  6. Step 6: Final answer
    x = 219,917.90

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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.