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Finding the Fourth Proportional to 309,596.60, 464,395.41 and 84,960.11

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Solution

The fourth proportional to 309,596.60, 464,395.41 and 84,960.11 is: 127,440.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,596.60 : 464,395.41 = 84,960.11 : x
  2. Step 2: Convert to fraction form
    309,596.60/464,395.41 = 84,960.11/x
  3. Step 3: Cross multiply
    309,596.60x = 464,395.41 × 84,960.11
  4. Step 4: Simplify right side
    309,596.60x = 39,455,086,278.08
  5. Step 5: Solve for x
    x = 39,455,086,278.08/309,596.60
  6. Step 6: Final answer
    x = 127,440.31

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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.