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Finding the Fourth Proportional to 313,881.70, 470,786.10 and 89,276.80

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Solution

The fourth proportional to 313,881.70, 470,786.10 and 89,276.80 is: 133,904.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,881.70 : 470,786.10 = 89,276.80 : x
  2. Step 2: Convert to fraction form
    313,881.70/470,786.10 = 89,276.80/x
  3. Step 3: Cross multiply
    313,881.70x = 470,786.10 × 89,276.80
  4. Step 4: Simplify right side
    313,881.70x = 42,030,276,492.48
  5. Step 5: Solve for x
    x = 42,030,276,492.48/313,881.70
  6. Step 6: Final answer
    x = 133,904.83

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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.