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Finding the Fourth Proportional to 512,608.88, 707,370.96 and 306,110.28

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Solution

The fourth proportional to 512,608.88, 707,370.96 and 306,110.28 is: 422,414.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,608.88 : 707,370.96 = 306,110.28 : x
  2. Step 2: Convert to fraction form
    512,608.88/707,370.96 = 306,110.28/x
  3. Step 3: Cross multiply
    512,608.88x = 707,370.96 × 306,110.28
  4. Step 4: Simplify right side
    512,608.88x = 216,533,522,629.47
  5. Step 5: Solve for x
    x = 216,533,522,629.47/512,608.88
  6. Step 6: Final answer
    x = 422,414.69

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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.