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Finding the Fourth Proportional to 475,309.80, 712,964.70 and 195,028.20

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Solution

The fourth proportional to 475,309.80, 712,964.70 and 195,028.20 is: 292,542.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,309.80 : 712,964.70 = 195,028.20 : x
  2. Step 2: Convert to fraction form
    475,309.80/712,964.70 = 195,028.20/x
  3. Step 3: Cross multiply
    475,309.80x = 712,964.70 × 195,028.20
  4. Step 4: Simplify right side
    475,309.80x = 139,048,222,104.54
  5. Step 5: Solve for x
    x = 139,048,222,104.54/475,309.80
  6. Step 6: Final answer
    x = 292,542.30

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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.