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Finding the Fourth Proportional to 328,983.42, 493,375.76 and 171,125.76

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Solution

The fourth proportional to 328,983.42, 493,375.76 and 171,125.76 is: 256,636.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,983.42 : 493,375.76 = 171,125.76 : x
  2. Step 2: Convert to fraction form
    328,983.42/493,375.76 = 171,125.76/x
  3. Step 3: Cross multiply
    328,983.42x = 493,375.76 × 171,125.76
  4. Step 4: Simplify right side
    328,983.42x = 84,429,303,531.83
  5. Step 5: Solve for x
    x = 84,429,303,531.83/328,983.42
  6. Step 6: Final answer
    x = 256,636.95

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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.