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Finding the Fourth Proportional to 242,972.80, 364,300.80 and 218,089.60

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Solution

The fourth proportional to 242,972.80, 364,300.80 and 218,089.60 is: 326,992.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,972.80 : 364,300.80 = 218,089.60 : x
  2. Step 2: Convert to fraction form
    242,972.80/364,300.80 = 218,089.60/x
  3. Step 3: Cross multiply
    242,972.80x = 364,300.80 × 218,089.60
  4. Step 4: Simplify right side
    242,972.80x = 79,450,215,751.68
  5. Step 5: Solve for x
    x = 79,450,215,751.68/242,972.80
  6. Step 6: Final answer
    x = 326,992.22

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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.