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Finding the Fourth Proportional to 275,803.80, 413,754.30 and 98,413.80

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Solution

The fourth proportional to 275,803.80, 413,754.30 and 98,413.80 is: 147,638.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,803.80 : 413,754.30 = 98,413.80 : x
  2. Step 2: Convert to fraction form
    275,803.80/413,754.30 = 98,413.80/x
  3. Step 3: Cross multiply
    275,803.80x = 413,754.30 × 98,413.80
  4. Step 4: Simplify right side
    275,803.80x = 40,719,132,929.34
  5. Step 5: Solve for x
    x = 40,719,132,929.34/275,803.80
  6. Step 6: Final answer
    x = 147,638.04

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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.