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Finding the Fourth Proportional to 515,197.10, 771,820.22 and 343,902.31

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Solution

The fourth proportional to 515,197.10, 771,820.22 and 343,902.31 is: 515,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,197.10 : 771,820.22 = 343,902.31 : x
  2. Step 2: Convert to fraction form
    515,197.10/771,820.22 = 343,902.31/x
  3. Step 3: Cross multiply
    515,197.10x = 771,820.22 × 343,902.31
  4. Step 4: Simplify right side
    515,197.10x = 265,430,755,492.91
  5. Step 5: Solve for x
    x = 265,430,755,492.91/515,197.10
  6. Step 6: Final answer
    x = 515,202.35

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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.