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Finding the Fourth Proportional to 328,777.48, 494,339.82 and 302,795.80

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Solution

The fourth proportional to 328,777.48, 494,339.82 and 302,795.80 is: 455,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,777.48 : 494,339.82 = 302,795.80 : x
  2. Step 2: Convert to fraction form
    328,777.48/494,339.82 = 302,795.80/x
  3. Step 3: Cross multiply
    328,777.48x = 494,339.82 × 302,795.80
  4. Step 4: Simplify right side
    328,777.48x = 149,684,021,268.76
  5. Step 5: Solve for x
    x = 149,684,021,268.76/328,777.48
  6. Step 6: Final answer
    x = 455,274.56

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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.