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Finding the Fourth Proportional to 313,335.36, 470,079.36 and 100,103.04

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Solution

The fourth proportional to 313,335.36, 470,079.36 and 100,103.04 is: 150,178.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,335.36 : 470,079.36 = 100,103.04 : x
  2. Step 2: Convert to fraction form
    313,335.36/470,079.36 = 100,103.04/x
  3. Step 3: Cross multiply
    313,335.36x = 470,079.36 × 100,103.04
  4. Step 4: Simplify right side
    313,335.36x = 47,056,372,977.25
  5. Step 5: Solve for x
    x = 47,056,372,977.25/313,335.36
  6. Step 6: Final answer
    x = 150,178.94

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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.