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Finding the Fourth Proportional to 313,480.60, 470,223 and 76,823.30

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Solution

The fourth proportional to 313,480.60, 470,223 and 76,823.30 is: 115,235.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,480.60 : 470,223 = 76,823.30 : x
  2. Step 2: Convert to fraction form
    313,480.60/470,223 = 76,823.30/x
  3. Step 3: Cross multiply
    313,480.60x = 470,223 × 76,823.30
  4. Step 4: Simplify right side
    313,480.60x = 36,124,082,595.90
  5. Step 5: Solve for x
    x = 36,124,082,595.90/313,480.60
  6. Step 6: Final answer
    x = 115,235.46

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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.