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Finding the Fourth Proportional to 312,727.42, 431,564.59 and 169,487.43

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Solution

The fourth proportional to 312,727.42, 431,564.59 and 169,487.43 is: 233,893.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,727.42 : 431,564.59 = 169,487.43 : x
  2. Step 2: Convert to fraction form
    312,727.42/431,564.59 = 169,487.43/x
  3. Step 3: Cross multiply
    312,727.42x = 431,564.59 × 169,487.43
  4. Step 4: Simplify right side
    312,727.42x = 73,144,773,238.10
  5. Step 5: Solve for x
    x = 73,144,773,238.10/312,727.42
  6. Step 6: Final answer
    x = 233,893.06

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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.