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Finding the Fourth Proportional to 312,698.71, 468,769.67 and 112,974.55

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Solution

The fourth proportional to 312,698.71, 468,769.67 and 112,974.55 is: 169,361.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,698.71 : 468,769.67 = 112,974.55 : x
  2. Step 2: Convert to fraction form
    312,698.71/468,769.67 = 112,974.55/x
  3. Step 3: Cross multiply
    312,698.71x = 468,769.67 × 112,974.55
  4. Step 4: Simplify right side
    312,698.71x = 52,959,041,957.03
  5. Step 5: Solve for x
    x = 52,959,041,957.03/312,698.71
  6. Step 6: Final answer
    x = 169,361.24

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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.