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Finding the Fourth Proportional to 328,266.42, 492,465.87 and 103,661.94

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Solution

The fourth proportional to 328,266.42, 492,465.87 and 103,661.94 is: 155,513.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,266.42 : 492,465.87 = 103,661.94 : x
  2. Step 2: Convert to fraction form
    328,266.42/492,465.87 = 103,661.94/x
  3. Step 3: Cross multiply
    328,266.42x = 492,465.87 × 103,661.94
  4. Step 4: Simplify right side
    328,266.42x = 51,049,967,467.99
  5. Step 5: Solve for x
    x = 51,049,967,467.99/328,266.42
  6. Step 6: Final answer
    x = 155,513.83

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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.