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Finding the Fourth Proportional to 809,748.80, 1,214,623.20 and 388,923.20

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Solution

The fourth proportional to 809,748.80, 1,214,623.20 and 388,923.20 is: 583,384.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,748.80 : 1,214,623.20 = 388,923.20 : x
  2. Step 2: Convert to fraction form
    809,748.80/1,214,623.20 = 388,923.20/x
  3. Step 3: Cross multiply
    809,748.80x = 1,214,623.20 × 388,923.20
  4. Step 4: Simplify right side
    809,748.80x = 472,395,141,738.24
  5. Step 5: Solve for x
    x = 472,395,141,738.24/809,748.80
  6. Step 6: Final answer
    x = 583,384.80

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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.