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Finding the Fourth Proportional to 305,222.99, 457,900.09 and 102,839.20

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Solution

The fourth proportional to 305,222.99, 457,900.09 and 102,839.20 is: 154,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,222.99 : 457,900.09 = 102,839.20 : x
  2. Step 2: Convert to fraction form
    305,222.99/457,900.09 = 102,839.20/x
  3. Step 3: Cross multiply
    305,222.99x = 457,900.09 × 102,839.20
  4. Step 4: Simplify right side
    305,222.99x = 47,090,080,109.37
  5. Step 5: Solve for x
    x = 47,090,080,109.37/305,222.99
  6. Step 6: Final answer
    x = 154,280.91

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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.