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Finding the Fourth Proportional to 515,343.86, 773,008.11 and 178,629.62

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Solution

The fourth proportional to 515,343.86, 773,008.11 and 178,629.62 is: 267,941.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,343.86 : 773,008.11 = 178,629.62 : x
  2. Step 2: Convert to fraction form
    515,343.86/773,008.11 = 178,629.62/x
  3. Step 3: Cross multiply
    515,343.86x = 773,008.11 × 178,629.62
  4. Step 4: Simplify right side
    515,343.86x = 138,082,144,946.22
  5. Step 5: Solve for x
    x = 138,082,144,946.22/515,343.86
  6. Step 6: Final answer
    x = 267,941.77

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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.