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Finding the Fourth Proportional to 313,404.60, 470,106.90 and 103,063.80

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Solution

The fourth proportional to 313,404.60, 470,106.90 and 103,063.80 is: 154,595.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,404.60 : 470,106.90 = 103,063.80 : x
  2. Step 2: Convert to fraction form
    313,404.60/470,106.90 = 103,063.80/x
  3. Step 3: Cross multiply
    313,404.60x = 470,106.90 × 103,063.80
  4. Step 4: Simplify right side
    313,404.60x = 48,451,003,520.22
  5. Step 5: Solve for x
    x = 48,451,003,520.22/313,404.60
  6. Step 6: Final answer
    x = 154,595.70

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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.