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Finding the Fourth Proportional to 328,401.86, 491,820.86 and 209,705.54

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Solution

The fourth proportional to 328,401.86, 491,820.86 and 209,705.54 is: 314,059.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,401.86 : 491,820.86 = 209,705.54 : x
  2. Step 2: Convert to fraction form
    328,401.86/491,820.86 = 209,705.54/x
  3. Step 3: Cross multiply
    328,401.86x = 491,820.86 × 209,705.54
  4. Step 4: Simplify right side
    328,401.86x = 103,137,559,029.56
  5. Step 5: Solve for x
    x = 103,137,559,029.56/328,401.86
  6. Step 6: Final answer
    x = 314,059.00

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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.