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Finding the Fourth Proportional to 512,605.03, 707,401.51 and 283,161.39

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Solution

The fourth proportional to 512,605.03, 707,401.51 and 283,161.39 is: 390,766.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,605.03 : 707,401.51 = 283,161.39 : x
  2. Step 2: Convert to fraction form
    512,605.03/707,401.51 = 283,161.39/x
  3. Step 3: Cross multiply
    512,605.03x = 707,401.51 × 283,161.39
  4. Step 4: Simplify right side
    512,605.03x = 200,308,799,458.72
  5. Step 5: Solve for x
    x = 200,308,799,458.72/512,605.03
  6. Step 6: Final answer
    x = 390,766.35

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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.