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Finding the Fourth Proportional to 442,020.54, 609,990.78 and 258,269.88

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Solution

The fourth proportional to 442,020.54, 609,990.78 and 258,269.88 is: 356,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,020.54 : 609,990.78 = 258,269.88 : x
  2. Step 2: Convert to fraction form
    442,020.54/609,990.78 = 258,269.88/x
  3. Step 3: Cross multiply
    442,020.54x = 609,990.78 × 258,269.88
  4. Step 4: Simplify right side
    442,020.54x = 157,542,245,551.71
  5. Step 5: Solve for x
    x = 157,542,245,551.71/442,020.54
  6. Step 6: Final answer
    x = 356,413.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.