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Finding the Fourth Proportional to 311,906.78, 430,432.40 and 168,667.86

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Solution

The fourth proportional to 311,906.78, 430,432.40 and 168,667.86 is: 232,762.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,906.78 : 430,432.40 = 168,667.86 : x
  2. Step 2: Convert to fraction form
    311,906.78/430,432.40 = 168,667.86/x
  3. Step 3: Cross multiply
    311,906.78x = 430,432.40 × 168,667.86
  4. Step 4: Simplify right side
    311,906.78x = 72,600,111,782.66
  5. Step 5: Solve for x
    x = 72,600,111,782.66/311,906.78
  6. Step 6: Final answer
    x = 232,762.21

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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.