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Finding the Fourth Proportional to 328,709.79, 493,138.58 and 104,083.65

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Solution

The fourth proportional to 328,709.79, 493,138.58 and 104,083.65 is: 156,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,709.79 : 493,138.58 = 104,083.65 : x
  2. Step 2: Convert to fraction form
    328,709.79/493,138.58 = 104,083.65/x
  3. Step 3: Cross multiply
    328,709.79x = 493,138.58 × 104,083.65
  4. Step 4: Simplify right side
    328,709.79x = 51,327,662,841.80
  5. Step 5: Solve for x
    x = 51,327,662,841.80/328,709.79
  6. Step 6: Final answer
    x = 156,148.87

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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.