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Finding the Fourth Proportional to 343,164.30, 515,336.94 and 328,402.05

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Solution

The fourth proportional to 343,164.30, 515,336.94 and 328,402.05 is: 493,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,164.30 : 515,336.94 = 328,402.05 : x
  2. Step 2: Convert to fraction form
    343,164.30/515,336.94 = 328,402.05/x
  3. Step 3: Cross multiply
    343,164.30x = 515,336.94 × 328,402.05
  4. Step 4: Simplify right side
    343,164.30x = 169,237,707,536.73
  5. Step 5: Solve for x
    x = 169,237,707,536.73/343,164.30
  6. Step 6: Final answer
    x = 493,168.16

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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.