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Finding the Fourth Proportional to 328,712.80, 493,069.20 and 210,614.80

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Solution

The fourth proportional to 328,712.80, 493,069.20 and 210,614.80 is: 315,922.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,712.80 : 493,069.20 = 210,614.80 : x
  2. Step 2: Convert to fraction form
    328,712.80/493,069.20 = 210,614.80/x
  3. Step 3: Cross multiply
    328,712.80x = 493,069.20 × 210,614.80
  4. Step 4: Simplify right side
    328,712.80x = 103,847,670,944.16
  5. Step 5: Solve for x
    x = 103,847,670,944.16/328,712.80
  6. Step 6: Final answer
    x = 315,922.20

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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.