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Finding the Fourth Proportional to 406,944, 610,433.28 and 111,456

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Solution

The fourth proportional to 406,944, 610,433.28 and 111,456 is: 167,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,944 : 610,433.28 = 111,456 : x
  2. Step 2: Convert to fraction form
    406,944/610,433.28 = 111,456/x
  3. Step 3: Cross multiply
    406,944x = 610,433.28 × 111,456
  4. Step 4: Simplify right side
    406,944x = 68,036,451,655.68
  5. Step 5: Solve for x
    x = 68,036,451,655.68/406,944
  6. Step 6: Final answer
    x = 167,188.73

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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.