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Finding the Fourth Proportional to 512,629.96, 707,440.02 and 283,186.60

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Solution

The fourth proportional to 512,629.96, 707,440.02 and 283,186.60 is: 390,803.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,629.96 : 707,440.02 = 283,186.60 : x
  2. Step 2: Convert to fraction form
    512,629.96/707,440.02 = 283,186.60/x
  3. Step 3: Cross multiply
    512,629.96x = 707,440.02 × 283,186.60
  4. Step 4: Simplify right side
    512,629.96x = 200,337,533,967.73
  5. Step 5: Solve for x
    x = 200,337,533,967.73/512,629.96
  6. Step 6: Final answer
    x = 390,803.41

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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.