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Finding the Fourth Proportional to 298,961.40, 448,521.30 and 130,409.40

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Solution

The fourth proportional to 298,961.40, 448,521.30 and 130,409.40 is: 195,648.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,961.40 : 448,521.30 = 130,409.40 : x
  2. Step 2: Convert to fraction form
    298,961.40/448,521.30 = 130,409.40/x
  3. Step 3: Cross multiply
    298,961.40x = 448,521.30 × 130,409.40
  4. Step 4: Simplify right side
    298,961.40x = 58,491,393,620.22
  5. Step 5: Solve for x
    x = 58,491,393,620.22/298,961.40
  6. Step 6: Final answer
    x = 195,648.65

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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.