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Finding the Fourth Proportional to 766,791.50, 1,149,408 and 317,756.66

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Solution

The fourth proportional to 766,791.50, 1,149,408 and 317,756.66 is: 476,312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,791.50 : 1,149,408 = 317,756.66 : x
  2. Step 2: Convert to fraction form
    766,791.50/1,149,408 = 317,756.66/x
  3. Step 3: Cross multiply
    766,791.50x = 1,149,408 × 317,756.66
  4. Step 4: Simplify right side
    766,791.50x = 365,232,041,310.24
  5. Step 5: Solve for x
    x = 365,232,041,310.24/766,791.50
  6. Step 6: Final answer
    x = 476,312.07

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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.