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Finding the Fourth Proportional to 317,791.79, 476,688.46 and 77,906.74

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Solution

The fourth proportional to 317,791.79, 476,688.46 and 77,906.74 is: 116,860.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,791.79 : 476,688.46 = 77,906.74 : x
  2. Step 2: Convert to fraction form
    317,791.79/476,688.46 = 77,906.74/x
  3. Step 3: Cross multiply
    317,791.79x = 476,688.46 × 77,906.74
  4. Step 4: Simplify right side
    317,791.79x = 37,137,243,914.22
  5. Step 5: Solve for x
    x = 37,137,243,914.22/317,791.79
  6. Step 6: Final answer
    x = 116,860.30

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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.