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Finding the Fourth Proportional to 259,490, 358,096.24 and 140,258

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Solution

The fourth proportional to 259,490, 358,096.24 and 140,258 is: 193,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,490 : 358,096.24 = 140,258 : x
  2. Step 2: Convert to fraction form
    259,490/358,096.24 = 140,258/x
  3. Step 3: Cross multiply
    259,490x = 358,096.24 × 140,258
  4. Step 4: Simplify right side
    259,490x = 50,225,862,429.92
  5. Step 5: Solve for x
    x = 50,225,862,429.92/259,490
  6. Step 6: Final answer
    x = 193,556.06

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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.