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Finding the Fourth Proportional to 512,841, 707,718.84 and 283,391.88

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Solution

The fourth proportional to 512,841, 707,718.84 and 283,391.88 is: 391,079.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,841 : 707,718.84 = 283,391.88 : x
  2. Step 2: Convert to fraction form
    512,841/707,718.84 = 283,391.88/x
  3. Step 3: Cross multiply
    512,841x = 707,718.84 × 283,391.88
  4. Step 4: Simplify right side
    512,841x = 200,561,772,579.02
  5. Step 5: Solve for x
    x = 200,561,772,579.02/512,841
  6. Step 6: Final answer
    x = 391,079.83

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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.