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Finding the Fourth Proportional to 397,962, 549,188.10 and 219,114

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Solution

The fourth proportional to 397,962, 549,188.10 and 219,114 is: 302,377.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,962 : 549,188.10 = 219,114 : x
  2. Step 2: Convert to fraction form
    397,962/549,188.10 = 219,114/x
  3. Step 3: Cross multiply
    397,962x = 549,188.10 × 219,114
  4. Step 4: Simplify right side
    397,962x = 120,334,801,343.40
  5. Step 5: Solve for x
    x = 120,334,801,343.40/397,962
  6. Step 6: Final answer
    x = 302,377.62

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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.