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Finding the Fourth Proportional to 378,943, 568,771.98 and 278,798.20

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Solution

The fourth proportional to 378,943, 568,771.98 and 278,798.20 is: 418,460.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    378,943 : 568,771.98 = 278,798.20 : x
  2. Step 2: Convert to fraction form
    378,943/568,771.98 = 278,798.20/x
  3. Step 3: Cross multiply
    378,943x = 568,771.98 × 278,798.20
  4. Step 4: Simplify right side
    378,943x = 158,572,604,234.44
  5. Step 5: Solve for x
    x = 158,572,604,234.44/378,943
  6. Step 6: Final answer
    x = 418,460.31

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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.