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Finding the Fourth Proportional to 328,404.71, 492,791.55 and 178,655.46

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Solution

The fourth proportional to 328,404.71, 492,791.55 and 178,655.46 is: 268,083.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,404.71 : 492,791.55 = 178,655.46 : x
  2. Step 2: Convert to fraction form
    328,404.71/492,791.55 = 178,655.46/x
  3. Step 3: Cross multiply
    328,404.71x = 492,791.55 × 178,655.46
  4. Step 4: Simplify right side
    328,404.71x = 88,039,898,531.44
  5. Step 5: Solve for x
    x = 88,039,898,531.44/328,404.71
  6. Step 6: Final answer
    x = 268,083.54

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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.