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Finding the Fourth Proportional to 281,008.80, 420,638.40 and 162,327.60

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Solution

The fourth proportional to 281,008.80, 420,638.40 and 162,327.60 is: 242,986.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,008.80 : 420,638.40 = 162,327.60 : x
  2. Step 2: Convert to fraction form
    281,008.80/420,638.40 = 162,327.60/x
  3. Step 3: Cross multiply
    281,008.80x = 420,638.40 × 162,327.60
  4. Step 4: Simplify right side
    281,008.80x = 68,281,221,939.84
  5. Step 5: Solve for x
    x = 68,281,221,939.84/281,008.80
  6. Step 6: Final answer
    x = 242,986.06

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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.