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Finding the Fourth Proportional to 312,628.36, 468,941.32 and 75,971.74

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Solution

The fourth proportional to 312,628.36, 468,941.32 and 75,971.74 is: 113,957.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,628.36 : 468,941.32 = 75,971.74 : x
  2. Step 2: Convert to fraction form
    312,628.36/468,941.32 = 75,971.74/x
  3. Step 3: Cross multiply
    312,628.36x = 468,941.32 × 75,971.74
  4. Step 4: Simplify right side
    312,628.36x = 35,626,288,038.30
  5. Step 5: Solve for x
    x = 35,626,288,038.30/312,628.36
  6. Step 6: Final answer
    x = 113,957.31

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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.