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Finding the Fourth Proportional to 512,754.61, 707,615.64 and 283,326.74

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Solution

The fourth proportional to 512,754.61, 707,615.64 and 283,326.74 is: 390,998.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,754.61 : 707,615.64 = 283,326.74 : x
  2. Step 2: Convert to fraction form
    512,754.61/707,615.64 = 283,326.74/x
  3. Step 3: Cross multiply
    512,754.61x = 707,615.64 × 283,326.74
  4. Step 4: Simplify right side
    512,754.61x = 200,486,431,037.58
  5. Step 5: Solve for x
    x = 200,486,431,037.58/512,754.61
  6. Step 6: Final answer
    x = 390,998.79

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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.