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Finding the Fourth Proportional to 328,815.45, 493,223.18 and 328,815.45

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Solution

The fourth proportional to 328,815.45, 493,223.18 and 328,815.45 is: 493,223.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,815.45 : 493,223.18 = 328,815.45 : x
  2. Step 2: Convert to fraction form
    328,815.45/493,223.18 = 328,815.45/x
  3. Step 3: Cross multiply
    328,815.45x = 493,223.18 × 328,815.45
  4. Step 4: Simplify right side
    328,815.45x = 162,179,400,238.05
  5. Step 5: Solve for x
    x = 162,179,400,238.05/328,815.45
  6. Step 6: Final answer
    x = 493,223.18

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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.