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Finding the Fourth Proportional to 313,735.21, 470,613.85 and 100,509.59

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Solution

The fourth proportional to 313,735.21, 470,613.85 and 100,509.59 is: 150,767.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,735.21 : 470,613.85 = 100,509.59 : x
  2. Step 2: Convert to fraction form
    313,735.21/470,613.85 = 100,509.59/x
  3. Step 3: Cross multiply
    313,735.21x = 470,613.85 × 100,509.59
  4. Step 4: Simplify right side
    313,735.21x = 47,301,206,037.08
  5. Step 5: Solve for x
    x = 47,301,206,037.08/313,735.21
  6. Step 6: Final answer
    x = 150,767.92

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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.