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Finding the Fourth Proportional to 313,632.80, 470,449.20 and 76,972.40

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Solution

The fourth proportional to 313,632.80, 470,449.20 and 76,972.40 is: 115,458.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,632.80 : 470,449.20 = 76,972.40 : x
  2. Step 2: Convert to fraction form
    313,632.80/470,449.20 = 76,972.40/x
  3. Step 3: Cross multiply
    313,632.80x = 470,449.20 × 76,972.40
  4. Step 4: Simplify right side
    313,632.80x = 36,211,604,002.08
  5. Step 5: Solve for x
    x = 36,211,604,002.08/313,632.80
  6. Step 6: Final answer
    x = 115,458.60

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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.