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Finding the Fourth Proportional to 328,462.38, 491,445.45 and 200,413.43

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Solution

The fourth proportional to 328,462.38, 491,445.45 and 200,413.43 is: 299,858.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,462.38 : 491,445.45 = 200,413.43 : x
  2. Step 2: Convert to fraction form
    328,462.38/491,445.45 = 200,413.43/x
  3. Step 3: Cross multiply
    328,462.38x = 491,445.45 × 200,413.43
  4. Step 4: Simplify right side
    328,462.38x = 98,492,265,835.17
  5. Step 5: Solve for x
    x = 98,492,265,835.17/328,462.38
  6. Step 6: Final answer
    x = 299,858.59

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1.5x scale

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.