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Finding the Fourth Proportional to 262,990.32, 362,928.30 and 142,131.31

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Solution

The fourth proportional to 262,990.32, 362,928.30 and 142,131.31 is: 196,142.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,990.32 : 362,928.30 = 142,131.31 : x
  2. Step 2: Convert to fraction form
    262,990.32/362,928.30 = 142,131.31/x
  3. Step 3: Cross multiply
    262,990.32x = 362,928.30 × 142,131.31
  4. Step 4: Simplify right side
    262,990.32x = 51,583,473,274.76
  5. Step 5: Solve for x
    x = 51,583,473,274.76/262,990.32
  6. Step 6: Final answer
    x = 196,142.10

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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.