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Finding the Fourth Proportional to 298,074.69, 411,346.65 and 162,112.05

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Solution

The fourth proportional to 298,074.69, 411,346.65 and 162,112.05 is: 223,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,074.69 : 411,346.65 = 162,112.05 : x
  2. Step 2: Convert to fraction form
    298,074.69/411,346.65 = 162,112.05/x
  3. Step 3: Cross multiply
    298,074.69x = 411,346.65 × 162,112.05
  4. Step 4: Simplify right side
    298,074.69x = 66,684,248,692.13
  5. Step 5: Solve for x
    x = 66,684,248,692.13/298,074.69
  6. Step 6: Final answer
    x = 223,716.57

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1.5x scale

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.