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Finding the Fourth Proportional to 305,418, 458,135.64 and 83,802

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Solution

The fourth proportional to 305,418, 458,135.64 and 83,802 is: 125,705.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,418 : 458,135.64 = 83,802 : x
  2. Step 2: Convert to fraction form
    305,418/458,135.64 = 83,802/x
  3. Step 3: Cross multiply
    305,418x = 458,135.64 × 83,802
  4. Step 4: Simplify right side
    305,418x = 38,392,682,903.28
  5. Step 5: Solve for x
    x = 38,392,682,903.28/305,418
  6. Step 6: Final answer
    x = 125,705.37

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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.