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Finding the Fourth Proportional to 286,059.64, 394,762.38 and 158,755.72

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Solution

The fourth proportional to 286,059.64, 394,762.38 and 158,755.72 is: 219,082.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,059.64 : 394,762.38 = 158,755.72 : x
  2. Step 2: Convert to fraction form
    286,059.64/394,762.38 = 158,755.72/x
  3. Step 3: Cross multiply
    286,059.64x = 394,762.38 × 158,755.72
  4. Step 4: Simplify right side
    286,059.64x = 62,670,785,865.81
  5. Step 5: Solve for x
    x = 62,670,785,865.81/286,059.64
  6. Step 6: Final answer
    x = 219,082.94

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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.