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Finding the Fourth Proportional to 313,636.80, 470,455.20 and 76,976.40

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Solution

The fourth proportional to 313,636.80, 470,455.20 and 76,976.40 is: 115,464.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,636.80 : 470,455.20 = 76,976.40 : x
  2. Step 2: Convert to fraction form
    313,636.80/470,455.20 = 76,976.40/x
  3. Step 3: Cross multiply
    313,636.80x = 470,455.20 × 76,976.40
  4. Step 4: Simplify right side
    313,636.80x = 36,213,947,657.28
  5. Step 5: Solve for x
    x = 36,213,947,657.28/313,636.80
  6. Step 6: Final answer
    x = 115,464.60

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1.5x scale

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.