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Finding the Fourth Proportional to 328,538.40, 492,823.80 and 171,074.40

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Solution

The fourth proportional to 328,538.40, 492,823.80 and 171,074.40 is: 256,620.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,538.40 : 492,823.80 = 171,074.40 : x
  2. Step 2: Convert to fraction form
    328,538.40/492,823.80 = 171,074.40/x
  3. Step 3: Cross multiply
    328,538.40x = 492,823.80 × 171,074.40
  4. Step 4: Simplify right side
    328,538.40x = 84,309,535,890.72
  5. Step 5: Solve for x
    x = 84,309,535,890.72/328,538.40
  6. Step 6: Final answer
    x = 256,620.04

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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.