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Finding the Fourth Proportional to 298,639.40, 447,959.10 and 264,813.80

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Solution

The fourth proportional to 298,639.40, 447,959.10 and 264,813.80 is: 397,220.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,639.40 : 447,959.10 = 264,813.80 : x
  2. Step 2: Convert to fraction form
    298,639.40/447,959.10 = 264,813.80/x
  3. Step 3: Cross multiply
    298,639.40x = 447,959.10 × 264,813.80
  4. Step 4: Simplify right side
    298,639.40x = 118,625,751,515.58
  5. Step 5: Solve for x
    x = 118,625,751,515.58/298,639.40
  6. Step 6: Final answer
    x = 397,220.70

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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.