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Finding the Fourth Proportional to 275,461.50, 413,413.68 and 142,380.74

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Solution

The fourth proportional to 275,461.50, 413,413.68 and 142,380.74 is: 213,685.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,461.50 : 413,413.68 = 142,380.74 : x
  2. Step 2: Convert to fraction form
    275,461.50/413,413.68 = 142,380.74/x
  3. Step 3: Cross multiply
    275,461.50x = 413,413.68 × 142,380.74
  4. Step 4: Simplify right side
    275,461.50x = 58,862,145,684.52
  5. Step 5: Solve for x
    x = 58,862,145,684.52/275,461.50
  6. Step 6: Final answer
    x = 213,685.56

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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.