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Finding the Fourth Proportional to 316,141.79, 436,251.83 and 172,896.93

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Solution

The fourth proportional to 316,141.79, 436,251.83 and 172,896.93 is: 238,584.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,141.79 : 436,251.83 = 172,896.93 : x
  2. Step 2: Convert to fraction form
    316,141.79/436,251.83 = 172,896.93/x
  3. Step 3: Cross multiply
    316,141.79x = 436,251.83 × 172,896.93
  4. Step 4: Simplify right side
    316,141.79x = 75,426,601,249.40
  5. Step 5: Solve for x
    x = 75,426,601,249.40/316,141.79
  6. Step 6: Final answer
    x = 238,584.73

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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.