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Finding the Fourth Proportional to 328,667.92, 493,056.38 and 115,380.47

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Solution

The fourth proportional to 328,667.92, 493,056.38 and 115,380.47 is: 173,089.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,667.92 : 493,056.38 = 115,380.47 : x
  2. Step 2: Convert to fraction form
    328,667.92/493,056.38 = 115,380.47/x
  3. Step 3: Cross multiply
    328,667.92x = 493,056.38 × 115,380.47
  4. Step 4: Simplify right side
    328,667.92x = 56,889,078,381.99
  5. Step 5: Solve for x
    x = 56,889,078,381.99/328,667.92
  6. Step 6: Final answer
    x = 173,089.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.