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Finding the Fourth Proportional to 312,133.30, 430,743.90 and 168,893.44

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Solution

The fourth proportional to 312,133.30, 430,743.90 and 168,893.44 is: 233,072.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,133.30 : 430,743.90 = 168,893.44 : x
  2. Step 2: Convert to fraction form
    312,133.30/430,743.90 = 168,893.44/x
  3. Step 3: Cross multiply
    312,133.30x = 430,743.90 × 168,893.44
  4. Step 4: Simplify right side
    312,133.30x = 72,749,819,030.02
  5. Step 5: Solve for x
    x = 72,749,819,030.02/312,133.30
  6. Step 6: Final answer
    x = 233,072.92

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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.