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Finding the Fourth Proportional to 633,413.88, 949,129 and 380,071.80

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Solution

The fourth proportional to 633,413.88, 949,129 and 380,071.80 is: 569,512.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,413.88 : 949,129 = 380,071.80 : x
  2. Step 2: Convert to fraction form
    633,413.88/949,129 = 380,071.80/x
  3. Step 3: Cross multiply
    633,413.88x = 949,129 × 380,071.80
  4. Step 4: Simplify right side
    633,413.88x = 360,737,167,462.20
  5. Step 5: Solve for x
    x = 360,737,167,462.20/633,413.88
  6. Step 6: Final answer
    x = 569,512.57

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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.