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Finding the Fourth Proportional to 281,078.88, 420,935.76 and 154,525.92

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Solution

The fourth proportional to 281,078.88, 420,935.76 and 154,525.92 is: 231,413.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,078.88 : 420,935.76 = 154,525.92 : x
  2. Step 2: Convert to fraction form
    281,078.88/420,935.76 = 154,525.92/x
  3. Step 3: Cross multiply
    281,078.88x = 420,935.76 × 154,525.92
  4. Step 4: Simplify right side
    281,078.88x = 65,045,485,574.90
  5. Step 5: Solve for x
    x = 65,045,485,574.90/281,078.88
  6. Step 6: Final answer
    x = 231,413.64

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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.