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Finding the Fourth Proportional to 378,946.40, 568,880.40 and 284,712.80

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Solution

The fourth proportional to 378,946.40, 568,880.40 and 284,712.80 is: 427,415.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,946.40 : 568,880.40 = 284,712.80 : x
  2. Step 2: Convert to fraction form
    378,946.40/568,880.40 = 284,712.80/x
  3. Step 3: Cross multiply
    378,946.40x = 568,880.40 × 284,712.80
  4. Step 4: Simplify right side
    378,946.40x = 161,967,531,549.12
  5. Step 5: Solve for x
    x = 161,967,531,549.12/378,946.40
  6. Step 6: Final answer
    x = 427,415.41

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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.