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Finding the Fourth Proportional to 245,449.74, 338,722.65 and 138,018.82

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Solution

The fourth proportional to 245,449.74, 338,722.65 and 138,018.82 is: 190,467.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,449.74 : 338,722.65 = 138,018.82 : x
  2. Step 2: Convert to fraction form
    245,449.74/338,722.65 = 138,018.82/x
  3. Step 3: Cross multiply
    245,449.74x = 338,722.65 × 138,018.82
  4. Step 4: Simplify right side
    245,449.74x = 46,750,100,460.27
  5. Step 5: Solve for x
    x = 46,750,100,460.27/245,449.74
  6. Step 6: Final answer
    x = 190,467.10

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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.