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Finding the Fourth Proportional to 312,825.70, 431,701.68 and 169,588

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Solution

The fourth proportional to 312,825.70, 431,701.68 and 169,588 is: 234,032.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,825.70 : 431,701.68 = 169,588 : x
  2. Step 2: Convert to fraction form
    312,825.70/431,701.68 = 169,588/x
  3. Step 3: Cross multiply
    312,825.70x = 431,701.68 × 169,588
  4. Step 4: Simplify right side
    312,825.70x = 73,211,424,507.84
  5. Step 5: Solve for x
    x = 73,211,424,507.84/312,825.70
  6. Step 6: Final answer
    x = 234,032.64

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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.