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Finding the Fourth Proportional to 406,978.80, 610,468.20 and 111,490.80

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Solution

The fourth proportional to 406,978.80, 610,468.20 and 111,490.80 is: 167,236.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,978.80 : 610,468.20 = 111,490.80 : x
  2. Step 2: Convert to fraction form
    406,978.80/610,468.20 = 111,490.80/x
  3. Step 3: Cross multiply
    406,978.80x = 610,468.20 × 111,490.80
  4. Step 4: Simplify right side
    406,978.80x = 68,061,587,992.56
  5. Step 5: Solve for x
    x = 68,061,587,992.56/406,978.80
  6. Step 6: Final answer
    x = 167,236.20

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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.