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Finding the Fourth Proportional to 309,394.42, 464,092.04 and 84,756.85

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Solution

The fourth proportional to 309,394.42, 464,092.04 and 84,756.85 is: 127,135.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,394.42 : 464,092.04 = 84,756.85 : x
  2. Step 2: Convert to fraction form
    309,394.42/464,092.04 = 84,756.85/x
  3. Step 3: Cross multiply
    309,394.42x = 464,092.04 × 84,756.85
  4. Step 4: Simplify right side
    309,394.42x = 39,334,979,420.47
  5. Step 5: Solve for x
    x = 39,334,979,420.47/309,394.42
  6. Step 6: Final answer
    x = 127,135.39

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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.