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Finding the Fourth Proportional to 313,862.20, 470,793.30 and 219,383.80

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Solution

The fourth proportional to 313,862.20, 470,793.30 and 219,383.80 is: 329,075.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,862.20 : 470,793.30 = 219,383.80 : x
  2. Step 2: Convert to fraction form
    313,862.20/470,793.30 = 219,383.80/x
  3. Step 3: Cross multiply
    313,862.20x = 470,793.30 × 219,383.80
  4. Step 4: Simplify right side
    313,862.20x = 103,284,423,168.54
  5. Step 5: Solve for x
    x = 103,284,423,168.54/313,862.20
  6. Step 6: Final answer
    x = 329,075.70

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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.