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Finding the Fourth Proportional to 240,390.56, 331,763.76 and 138,419.84

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Solution

The fourth proportional to 240,390.56, 331,763.76 and 138,419.84 is: 191,033.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,390.56 : 331,763.76 = 138,419.84 : x
  2. Step 2: Convert to fraction form
    240,390.56/331,763.76 = 138,419.84/x
  3. Step 3: Cross multiply
    240,390.56x = 331,763.76 × 138,419.84
  4. Step 4: Simplify right side
    240,390.56x = 45,922,686,577.00
  5. Step 5: Solve for x
    x = 45,922,686,577.00/240,390.56
  6. Step 6: Final answer
    x = 191,033.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.