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Finding the Fourth Proportional to 259,115.76, 388,673.64 and 148,230

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Solution

The fourth proportional to 259,115.76, 388,673.64 and 148,230 is: 222,345

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,115.76 : 388,673.64 = 148,230 : x
  2. Step 2: Convert to fraction form
    259,115.76/388,673.64 = 148,230/x
  3. Step 3: Cross multiply
    259,115.76x = 388,673.64 × 148,230
  4. Step 4: Simplify right side
    259,115.76x = 57,613,093,657.20
  5. Step 5: Solve for x
    x = 57,613,093,657.20/259,115.76
  6. Step 6: Final answer
    x = 222,345

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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.