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Finding the Fourth Proportional to 259,708.68, 358,396.56 and 144,980.69

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Solution

The fourth proportional to 259,708.68, 358,396.56 and 144,980.69 is: 200,072.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,708.68 : 358,396.56 = 144,980.69 : x
  2. Step 2: Convert to fraction form
    259,708.68/358,396.56 = 144,980.69/x
  3. Step 3: Cross multiply
    259,708.68x = 358,396.56 × 144,980.69
  4. Step 4: Simplify right side
    259,708.68x = 51,960,578,770.44
  5. Step 5: Solve for x
    x = 51,960,578,770.44/259,708.68
  6. Step 6: Final answer
    x = 200,072.55

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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.