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Finding the Fourth Proportional to 336,138.14, 504,208.20 and 86,820.14

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Solution

The fourth proportional to 336,138.14, 504,208.20 and 86,820.14 is: 130,230.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    336,138.14 : 504,208.20 = 86,820.14 : x
  2. Step 2: Convert to fraction form
    336,138.14/504,208.20 = 86,820.14/x
  3. Step 3: Cross multiply
    336,138.14x = 504,208.20 × 86,820.14
  4. Step 4: Simplify right side
    336,138.14x = 43,775,426,513.15
  5. Step 5: Solve for x
    x = 43,775,426,513.15/336,138.14
  6. Step 6: Final answer
    x = 130,230.47

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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.