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Finding the Fourth Proportional to 306,284.10, 422,672.43 and 170,316.54

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Solution

The fourth proportional to 306,284.10, 422,672.43 and 170,316.54 is: 235,037.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,284.10 : 422,672.43 = 170,316.54 : x
  2. Step 2: Convert to fraction form
    306,284.10/422,672.43 = 170,316.54/x
  3. Step 3: Cross multiply
    306,284.10x = 422,672.43 × 170,316.54
  4. Step 4: Simplify right side
    306,284.10x = 71,988,105,830.99
  5. Step 5: Solve for x
    x = 71,988,105,830.99/306,284.10
  6. Step 6: Final answer
    x = 235,037.03

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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.