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Finding the Fourth Proportional to 328,778.48, 494,341.32 and 302,796.80

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Solution

The fourth proportional to 328,778.48, 494,341.32 and 302,796.80 is: 455,276.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,778.48 : 494,341.32 = 302,796.80 : x
  2. Step 2: Convert to fraction form
    328,778.48/494,341.32 = 302,796.80/x
  3. Step 3: Cross multiply
    328,778.48x = 494,341.32 × 302,796.80
  4. Step 4: Simplify right side
    328,778.48x = 149,684,969,803.78
  5. Step 5: Solve for x
    x = 149,684,969,803.78/328,778.48
  6. Step 6: Final answer
    x = 455,276.06

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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.