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Finding the Fourth Proportional to 312,583.12, 468,874.69 and 75,924.21

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Solution

The fourth proportional to 312,583.12, 468,874.69 and 75,924.21 is: 113,886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,583.12 : 468,874.69 = 75,924.21 : x
  2. Step 2: Convert to fraction form
    312,583.12/468,874.69 = 75,924.21/x
  3. Step 3: Cross multiply
    312,583.12x = 468,874.69 × 75,924.21
  4. Step 4: Simplify right side
    312,583.12x = 35,598,937,893.06
  5. Step 5: Solve for x
    x = 35,598,937,893.06/312,583.12
  6. Step 6: Final answer
    x = 113,886.31

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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.