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Finding the Fourth Proportional to 245,316.30, 338,546.07 and 137,886

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Solution

The fourth proportional to 245,316.30, 338,546.07 and 137,886 is: 190,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,316.30 : 338,546.07 = 137,886 : x
  2. Step 2: Convert to fraction form
    245,316.30/338,546.07 = 137,886/x
  3. Step 3: Cross multiply
    245,316.30x = 338,546.07 × 137,886
  4. Step 4: Simplify right side
    245,316.30x = 46,680,763,408.02
  5. Step 5: Solve for x
    x = 46,680,763,408.02/245,316.30
  6. Step 6: Final answer
    x = 190,288.06

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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.