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Finding the Fourth Proportional to 512,281.26, 768,536.13 and 157,331.10

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Solution

The fourth proportional to 512,281.26, 768,536.13 and 157,331.10 is: 236,031.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,281.26 : 768,536.13 = 157,331.10 : x
  2. Step 2: Convert to fraction form
    512,281.26/768,536.13 = 157,331.10/x
  3. Step 3: Cross multiply
    512,281.26x = 768,536.13 × 157,331.10
  4. Step 4: Simplify right side
    512,281.26x = 120,914,634,722.64
  5. Step 5: Solve for x
    x = 120,914,634,722.64/512,281.26
  6. Step 6: Final answer
    x = 236,031.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.