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Finding the Fourth Proportional to 238,879.28, 358,396.72 and 114,230

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Solution

The fourth proportional to 238,879.28, 358,396.72 and 114,230 is: 171,382.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,879.28 : 358,396.72 = 114,230 : x
  2. Step 2: Convert to fraction form
    238,879.28/358,396.72 = 114,230/x
  3. Step 3: Cross multiply
    238,879.28x = 358,396.72 × 114,230
  4. Step 4: Simplify right side
    238,879.28x = 40,939,657,325.60
  5. Step 5: Solve for x
    x = 40,939,657,325.60/238,879.28
  6. Step 6: Final answer
    x = 171,382.20

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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.