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Finding the Fourth Proportional to 389,107.70, 583,679.44 and 119,216.51

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Solution

The fourth proportional to 389,107.70, 583,679.44 and 119,216.51 is: 178,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,107.70 : 583,679.44 = 119,216.51 : x
  2. Step 2: Convert to fraction form
    389,107.70/583,679.44 = 119,216.51/x
  3. Step 3: Cross multiply
    389,107.70x = 583,679.44 × 119,216.51
  4. Step 4: Simplify right side
    389,107.70x = 69,584,222,579.12
  5. Step 5: Solve for x
    x = 69,584,222,579.12/389,107.70
  6. Step 6: Final answer
    x = 178,830.24

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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.