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Finding the Fourth Proportional to 313,976.12, 470,980.46 and 103,630.46

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Solution

The fourth proportional to 313,976.12, 470,980.46 and 103,630.46 is: 155,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,976.12 : 470,980.46 = 103,630.46 : x
  2. Step 2: Convert to fraction form
    313,976.12/470,980.46 = 103,630.46/x
  3. Step 3: Cross multiply
    313,976.12x = 470,980.46 × 103,630.46
  4. Step 4: Simplify right side
    313,976.12x = 48,807,921,720.81
  5. Step 5: Solve for x
    x = 48,807,921,720.81/313,976.12
  6. Step 6: Final answer
    x = 155,451.06

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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.