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Finding the Fourth Proportional to 307,006.20, 460,477.26 and 82,390.68

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Solution

The fourth proportional to 307,006.20, 460,477.26 and 82,390.68 is: 123,577.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,006.20 : 460,477.26 = 82,390.68 : x
  2. Step 2: Convert to fraction form
    307,006.20/460,477.26 = 82,390.68/x
  3. Step 3: Cross multiply
    307,006.20x = 460,477.26 × 82,390.68
  4. Step 4: Simplify right side
    307,006.20x = 37,939,034,575.94
  5. Step 5: Solve for x
    x = 37,939,034,575.94/307,006.20
  6. Step 6: Final answer
    x = 123,577.42

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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.