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Finding the Fourth Proportional to 390,205.89, 538,552.67 and 226,913.00

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Solution

The fourth proportional to 390,205.89, 538,552.67 and 226,913.00 is: 313,179.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,205.89 : 538,552.67 = 226,913.00 : x
  2. Step 2: Convert to fraction form
    390,205.89/538,552.67 = 226,913.00/x
  3. Step 3: Cross multiply
    390,205.89x = 538,552.67 × 226,913.00
  4. Step 4: Simplify right side
    390,205.89x = 122,204,598,180.38
  5. Step 5: Solve for x
    x = 122,204,598,180.38/390,205.89
  6. Step 6: Final answer
    x = 313,179.79

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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.