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Finding the Fourth Proportional to 568,978.20, 785,158.38 and 354,111.48

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Solution

The fourth proportional to 568,978.20, 785,158.38 and 354,111.48 is: 488,654.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    568,978.20 : 785,158.38 = 354,111.48 : x
  2. Step 2: Convert to fraction form
    568,978.20/785,158.38 = 354,111.48/x
  3. Step 3: Cross multiply
    568,978.20x = 785,158.38 × 354,111.48
  4. Step 4: Simplify right side
    568,978.20x = 278,033,595,976.20
  5. Step 5: Solve for x
    x = 278,033,595,976.20/568,978.20
  6. Step 6: Final answer
    x = 488,654.22

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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.