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Finding the Fourth Proportional to 313,832.80, 470,749.20 and 100,600.30

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Solution

The fourth proportional to 313,832.80, 470,749.20 and 100,600.30 is: 150,900.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,832.80 : 470,749.20 = 100,600.30 : x
  2. Step 2: Convert to fraction form
    313,832.80/470,749.20 = 100,600.30/x
  3. Step 3: Cross multiply
    313,832.80x = 470,749.20 × 100,600.30
  4. Step 4: Simplify right side
    313,832.80x = 47,357,510,744.76
  5. Step 5: Solve for x
    x = 47,357,510,744.76/313,832.80
  6. Step 6: Final answer
    x = 150,900.45

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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.