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Finding the Fourth Proportional to 253,714,942.40, 380,572,413.60 and 177,187,438.40

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Solution

The fourth proportional to 253,714,942.40, 380,572,413.60 and 177,187,438.40 is: 265,781,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,714,942.40 : 380,572,413.60 = 177,187,438.40 : x
  2. Step 2: Convert to fraction form
    253,714,942.40/380,572,413.60 = 177,187,438.40/x
  3. Step 3: Cross multiply
    253,714,942.40x = 380,572,413.60 × 177,187,438.40
  4. Step 4: Simplify right side
    253,714,942.40x = 67,432,651,091,489,328
  5. Step 5: Solve for x
    x = 67,432,651,091,489,328/253,714,942.40
  6. Step 6: Final answer
    x = 265,781,157.60

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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.