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Finding the Fourth Proportional to 512,852.82, 768,667.79 and 238,931.58

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Solution

The fourth proportional to 512,852.82, 768,667.79 and 238,931.58 is: 358,112.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,852.82 : 768,667.79 = 238,931.58 : x
  2. Step 2: Convert to fraction form
    512,852.82/768,667.79 = 238,931.58/x
  3. Step 3: Cross multiply
    512,852.82x = 768,667.79 × 238,931.58
  4. Step 4: Simplify right side
    512,852.82x = 183,659,008,365.15
  5. Step 5: Solve for x
    x = 183,659,008,365.15/512,852.82
  6. Step 6: Final answer
    x = 358,112.51

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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.