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Finding the Fourth Proportional to 281,065.20, 421,669.80 and 162,524.40

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Solution

The fourth proportional to 281,065.20, 421,669.80 and 162,524.40 is: 243,828.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,065.20 : 421,669.80 = 162,524.40 : x
  2. Step 2: Convert to fraction form
    281,065.20/421,669.80 = 162,524.40/x
  3. Step 3: Cross multiply
    281,065.20x = 421,669.80 × 162,524.40
  4. Step 4: Simplify right side
    281,065.20x = 68,531,631,243.12
  5. Step 5: Solve for x
    x = 68,531,631,243.12/281,065.20
  6. Step 6: Final answer
    x = 243,828.23

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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.