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Finding the Fourth Proportional to 379,258.89, 523,375.67 and 209,493.02

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Solution

The fourth proportional to 379,258.89, 523,375.67 and 209,493.02 is: 289,099.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    379,258.89 : 523,375.67 = 209,493.02 : x
  2. Step 2: Convert to fraction form
    379,258.89/523,375.67 = 209,493.02/x
  3. Step 3: Cross multiply
    379,258.89x = 523,375.67 × 209,493.02
  4. Step 4: Simplify right side
    379,258.89x = 109,643,547,609.68
  5. Step 5: Solve for x
    x = 109,643,547,609.68/379,258.89
  6. Step 6: Final answer
    x = 289,099.48

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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.