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Finding the Fourth Proportional to 406,942.20, 610,403.70 and 111,454.20

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Solution

The fourth proportional to 406,942.20, 610,403.70 and 111,454.20 is: 167,178.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,942.20 : 610,403.70 = 111,454.20 : x
  2. Step 2: Convert to fraction form
    406,942.20/610,403.70 = 111,454.20/x
  3. Step 3: Cross multiply
    406,942.20x = 610,403.70 × 111,454.20
  4. Step 4: Simplify right side
    406,942.20x = 68,032,056,060.54
  5. Step 5: Solve for x
    x = 68,032,056,060.54/406,942.20
  6. Step 6: Final answer
    x = 167,178.67

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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.