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Finding the Fourth Proportional to 313,556.64, 470,366.10 and 100,270.96

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Solution

The fourth proportional to 313,556.64, 470,366.10 and 100,270.96 is: 150,416.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,556.64 : 470,366.10 = 100,270.96 : x
  2. Step 2: Convert to fraction form
    313,556.64/470,366.10 = 100,270.96/x
  3. Step 3: Cross multiply
    313,556.64x = 470,366.10 × 100,270.96
  4. Step 4: Simplify right side
    313,556.64x = 47,164,059,222.54
  5. Step 5: Solve for x
    x = 47,164,059,222.54/313,556.64
  6. Step 6: Final answer
    x = 150,416.40

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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.