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Finding the Fourth Proportional to 308,285, 462,427.52 and 86,669

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Solution

The fourth proportional to 308,285, 462,427.52 and 86,669 is: 130,003.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,285 : 462,427.52 = 86,669 : x
  2. Step 2: Convert to fraction form
    308,285/462,427.52 = 86,669/x
  3. Step 3: Cross multiply
    308,285x = 462,427.52 × 86,669
  4. Step 4: Simplify right side
    308,285x = 40,078,130,730.88
  5. Step 5: Solve for x
    x = 40,078,130,730.88/308,285
  6. Step 6: Final answer
    x = 130,003.51

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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.