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Finding the Fourth Proportional to 242,715.20, 364,072.80 and 148,236.80

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Solution

The fourth proportional to 242,715.20, 364,072.80 and 148,236.80 is: 222,355.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,715.20 : 364,072.80 = 148,236.80 : x
  2. Step 2: Convert to fraction form
    242,715.20/364,072.80 = 148,236.80/x
  3. Step 3: Cross multiply
    242,715.20x = 364,072.80 × 148,236.80
  4. Step 4: Simplify right side
    242,715.20x = 53,968,986,839.04
  5. Step 5: Solve for x
    x = 53,968,986,839.04/242,715.20
  6. Step 6: Final answer
    x = 222,355.20

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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.