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Finding the Fourth Proportional to 471,128.80, 704,965.20 and 346,712.80

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Solution

The fourth proportional to 471,128.80, 704,965.20 and 346,712.80 is: 518,797.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,128.80 : 704,965.20 = 346,712.80 : x
  2. Step 2: Convert to fraction form
    471,128.80/704,965.20 = 346,712.80/x
  3. Step 3: Cross multiply
    471,128.80x = 704,965.20 × 346,712.80
  4. Step 4: Simplify right side
    471,128.80x = 244,420,458,394.56
  5. Step 5: Solve for x
    x = 244,420,458,394.56/471,128.80
  6. Step 6: Final answer
    x = 518,797.53

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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.