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Finding the Fourth Proportional to 259,740, 358,500.87 and 152,344.63

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Solution

The fourth proportional to 259,740, 358,500.87 and 152,344.63 is: 210,270.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,740 : 358,500.87 = 152,344.63 : x
  2. Step 2: Convert to fraction form
    259,740/358,500.87 = 152,344.63/x
  3. Step 3: Cross multiply
    259,740x = 358,500.87 × 152,344.63
  4. Step 4: Simplify right side
    259,740x = 54,615,682,842.95
  5. Step 5: Solve for x
    x = 54,615,682,842.95/259,740
  6. Step 6: Final answer
    x = 210,270.59

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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.