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Finding the Fourth Proportional to 328,462.96, 492,694.44 and 79,144.96

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Solution

The fourth proportional to 328,462.96, 492,694.44 and 79,144.96 is: 118,717.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,462.96 : 492,694.44 = 79,144.96 : x
  2. Step 2: Convert to fraction form
    328,462.96/492,694.44 = 79,144.96/x
  3. Step 3: Cross multiply
    328,462.96x = 492,694.44 × 79,144.96
  4. Step 4: Simplify right side
    328,462.96x = 38,994,281,746.02
  5. Step 5: Solve for x
    x = 38,994,281,746.02/328,462.96
  6. Step 6: Final answer
    x = 118,717.44

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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.