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Finding the Fourth Proportional to 313,489.60, 470,234.40 and 76,834.60

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Solution

The fourth proportional to 313,489.60, 470,234.40 and 76,834.60 is: 115,251.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,489.60 : 470,234.40 = 76,834.60 : x
  2. Step 2: Convert to fraction form
    313,489.60/470,234.40 = 76,834.60/x
  3. Step 3: Cross multiply
    313,489.60x = 470,234.40 × 76,834.60
  4. Step 4: Simplify right side
    313,489.60x = 36,130,272,030.24
  5. Step 5: Solve for x
    x = 36,130,272,030.24/313,489.60
  6. Step 6: Final answer
    x = 115,251.90

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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.