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Finding the Fourth Proportional to 321,783.36, 443,946.21 and 200,878.74

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Solution

The fourth proportional to 321,783.36, 443,946.21 and 200,878.74 is: 277,140.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,783.36 : 443,946.21 = 200,878.74 : x
  2. Step 2: Convert to fraction form
    321,783.36/443,946.21 = 200,878.74/x
  3. Step 3: Cross multiply
    321,783.36x = 443,946.21 × 200,878.74
  4. Step 4: Simplify right side
    321,783.36x = 89,179,355,292.58
  5. Step 5: Solve for x
    x = 89,179,355,292.58/321,783.36
  6. Step 6: Final answer
    x = 277,140.98

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1.5x scale

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.