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Finding the Fourth Proportional to 309,395.64, 464,093.82 and 84,758.01

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Solution

The fourth proportional to 309,395.64, 464,093.82 and 84,758.01 is: 127,137.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,395.64 : 464,093.82 = 84,758.01 : x
  2. Step 2: Convert to fraction form
    309,395.64/464,093.82 = 84,758.01/x
  3. Step 3: Cross multiply
    309,395.64x = 464,093.82 × 84,758.01
  4. Step 4: Simplify right side
    309,395.64x = 39,335,668,636.50
  5. Step 5: Solve for x
    x = 39,335,668,636.50/309,395.64
  6. Step 6: Final answer
    x = 127,137.11

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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.