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Finding the Fourth Proportional to 328,538.58, 492,811.47 and 103,893.54

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Solution

The fourth proportional to 328,538.58, 492,811.47 and 103,893.54 is: 155,841.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,538.58 : 492,811.47 = 103,893.54 : x
  2. Step 2: Convert to fraction form
    328,538.58/492,811.47 = 103,893.54/x
  3. Step 3: Cross multiply
    328,538.58x = 492,811.47 × 103,893.54
  4. Step 4: Simplify right side
    328,538.58x = 51,199,928,170.90
  5. Step 5: Solve for x
    x = 51,199,928,170.90/328,538.58
  6. Step 6: Final answer
    x = 155,841.45

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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.