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Finding the Fourth Proportional to 312,238, 430,888.44 and 168,999.22

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Solution

The fourth proportional to 312,238, 430,888.44 and 168,999.22 is: 233,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,238 : 430,888.44 = 168,999.22 : x
  2. Step 2: Convert to fraction form
    312,238/430,888.44 = 168,999.22/x
  3. Step 3: Cross multiply
    312,238x = 430,888.44 × 168,999.22
  4. Step 4: Simplify right side
    312,238x = 72,819,810,267.02
  5. Step 5: Solve for x
    x = 72,819,810,267.02/312,238
  6. Step 6: Final answer
    x = 233,218.92

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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.