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Finding the Fourth Proportional to 313,318.76, 469,954.88 and 100,078.04

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Solution

The fourth proportional to 313,318.76, 469,954.88 and 100,078.04 is: 150,109.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,318.76 : 469,954.88 = 100,078.04 : x
  2. Step 2: Convert to fraction form
    313,318.76/469,954.88 = 100,078.04/x
  3. Step 3: Cross multiply
    313,318.76x = 469,954.88 × 100,078.04
  4. Step 4: Simplify right side
    313,318.76x = 47,032,163,278.84
  5. Step 5: Solve for x
    x = 47,032,163,278.84/313,318.76
  6. Step 6: Final answer
    x = 150,109.63

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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.