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Finding the Fourth Proportional to 297,944.78, 411,171.90 and 161,987.87

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Solution

The fourth proportional to 297,944.78, 411,171.90 and 161,987.87 is: 223,547.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,944.78 : 411,171.90 = 161,987.87 : x
  2. Step 2: Convert to fraction form
    297,944.78/411,171.90 = 161,987.87/x
  3. Step 3: Cross multiply
    297,944.78x = 411,171.90 × 161,987.87
  4. Step 4: Simplify right side
    297,944.78x = 66,604,860,284.85
  5. Step 5: Solve for x
    x = 66,604,860,284.85/297,944.78
  6. Step 6: Final answer
    x = 223,547.67

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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.