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Finding the Fourth Proportional to 382,512.72, 573,325.60 and 338,226

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Solution

The fourth proportional to 382,512.72, 573,325.60 and 338,226 is: 506,946.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,512.72 : 573,325.60 = 338,226 : x
  2. Step 2: Convert to fraction form
    382,512.72/573,325.60 = 338,226/x
  3. Step 3: Cross multiply
    382,512.72x = 573,325.60 × 338,226
  4. Step 4: Simplify right side
    382,512.72x = 193,913,624,385.60
  5. Step 5: Solve for x
    x = 193,913,624,385.60/382,512.72
  6. Step 6: Final answer
    x = 506,946.87

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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.