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Finding the Fourth Proportional to 312,828.52, 431,703.46 and 169,588.52

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Solution

The fourth proportional to 312,828.52, 431,703.46 and 169,588.52 is: 234,032.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,828.52 : 431,703.46 = 169,588.52 : x
  2. Step 2: Convert to fraction form
    312,828.52/431,703.46 = 169,588.52/x
  3. Step 3: Cross multiply
    312,828.52x = 431,703.46 × 169,588.52
  4. Step 4: Simplify right side
    312,828.52x = 73,211,950,860.28
  5. Step 5: Solve for x
    x = 73,211,950,860.28/312,828.52
  6. Step 6: Final answer
    x = 234,032.21

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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.