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Finding the Fourth Proportional to 398,745.56, 598,150.74 and 118,262

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Solution

The fourth proportional to 398,745.56, 598,150.74 and 118,262 is: 177,402.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,745.56 : 598,150.74 = 118,262 : x
  2. Step 2: Convert to fraction form
    398,745.56/598,150.74 = 118,262/x
  3. Step 3: Cross multiply
    398,745.56x = 598,150.74 × 118,262
  4. Step 4: Simplify right side
    398,745.56x = 70,738,502,813.88
  5. Step 5: Solve for x
    x = 70,738,502,813.88/398,745.56
  6. Step 6: Final answer
    x = 177,402.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.