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Finding the Fourth Proportional to 343,762.82, 515,658.22 and 163,755.72

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Solution

The fourth proportional to 343,762.82, 515,658.22 and 163,755.72 is: 245,640.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,762.82 : 515,658.22 = 163,755.72 : x
  2. Step 2: Convert to fraction form
    343,762.82/515,658.22 = 163,755.72/x
  3. Step 3: Cross multiply
    343,762.82x = 515,658.22 × 163,755.72
  4. Step 4: Simplify right side
    343,762.82x = 84,441,983,090.02
  5. Step 5: Solve for x
    x = 84,441,983,090.02/343,762.82
  6. Step 6: Final answer
    x = 245,640.24

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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.