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Finding the Fourth Proportional to 308,414.31, 461,342.06 and 289,518.63

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Solution

The fourth proportional to 308,414.31, 461,342.06 and 289,518.63 is: 433,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,414.31 : 461,342.06 = 289,518.63 : x
  2. Step 2: Convert to fraction form
    308,414.31/461,342.06 = 289,518.63/x
  3. Step 3: Cross multiply
    308,414.31x = 461,342.06 × 289,518.63
  4. Step 4: Simplify right side
    308,414.31x = 133,567,118,865.87
  5. Step 5: Solve for x
    x = 133,567,118,865.87/308,414.31
  6. Step 6: Final answer
    x = 433,076.93

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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.