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Finding the Fourth Proportional to 328,777.10, 493,321.65 and 227,730.53

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Solution

The fourth proportional to 328,777.10, 493,321.65 and 227,730.53 is: 341,703.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,777.10 : 493,321.65 = 227,730.53 : x
  2. Step 2: Convert to fraction form
    328,777.10/493,321.65 = 227,730.53/x
  3. Step 3: Cross multiply
    328,777.10x = 493,321.65 × 227,730.53
  4. Step 4: Simplify right side
    328,777.10x = 112,344,400,814.98
  5. Step 5: Solve for x
    x = 112,344,400,814.98/328,777.10
  6. Step 6: Final answer
    x = 341,703.85

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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.