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Finding the Fourth Proportional to 328,905, 493,435.50 and 107,289

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Solution

The fourth proportional to 328,905, 493,435.50 and 107,289 is: 160,958.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,905 : 493,435.50 = 107,289 : x
  2. Step 2: Convert to fraction form
    328,905/493,435.50 = 107,289/x
  3. Step 3: Cross multiply
    328,905x = 493,435.50 × 107,289
  4. Step 4: Simplify right side
    328,905x = 52,940,201,359.50
  5. Step 5: Solve for x
    x = 52,940,201,359.50/328,905
  6. Step 6: Final answer
    x = 160,958.94

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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.