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Finding the Fourth Proportional to 257,740, 355,681.84 and 150,383.84

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Solution

The fourth proportional to 257,740, 355,681.84 and 150,383.84 is: 207,530.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,740 : 355,681.84 = 150,383.84 : x
  2. Step 2: Convert to fraction form
    257,740/355,681.84 = 150,383.84/x
  3. Step 3: Cross multiply
    257,740x = 355,681.84 × 150,383.84
  4. Step 4: Simplify right side
    257,740x = 53,488,800,917.47
  5. Step 5: Solve for x
    x = 53,488,800,917.47/257,740
  6. Step 6: Final answer
    x = 207,530.07

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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.