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Finding the Fourth Proportional to 447,645.20, 670,949.40 and 181,230.80

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Solution

The fourth proportional to 447,645.20, 670,949.40 and 181,230.80 is: 271,636.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,645.20 : 670,949.40 = 181,230.80 : x
  2. Step 2: Convert to fraction form
    447,645.20/670,949.40 = 181,230.80/x
  3. Step 3: Cross multiply
    447,645.20x = 670,949.40 × 181,230.80
  4. Step 4: Simplify right side
    447,645.20x = 121,596,696,521.52
  5. Step 5: Solve for x
    x = 121,596,696,521.52/447,645.20
  6. Step 6: Final answer
    x = 271,636.32

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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.