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Finding the Fourth Proportional to 526,378.42, 789,720.72 and 189,413.02

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Solution

The fourth proportional to 526,378.42, 789,720.72 and 189,413.02 is: 284,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    526,378.42 : 789,720.72 = 189,413.02 : x
  2. Step 2: Convert to fraction form
    526,378.42/789,720.72 = 189,413.02/x
  3. Step 3: Cross multiply
    526,378.42x = 789,720.72 × 189,413.02
  4. Step 4: Simplify right side
    526,378.42x = 149,583,386,531.77
  5. Step 5: Solve for x
    x = 149,583,386,531.77/526,378.42
  6. Step 6: Final answer
    x = 284,174.62

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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.