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Finding the Fourth Proportional to 313,409.49, 470,105.13 and 88,769.49

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Solution

The fourth proportional to 313,409.49, 470,105.13 and 88,769.49 is: 133,151.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,409.49 : 470,105.13 = 88,769.49 : x
  2. Step 2: Convert to fraction form
    313,409.49/470,105.13 = 88,769.49/x
  3. Step 3: Cross multiply
    313,409.49x = 470,105.13 × 88,769.49
  4. Step 4: Simplify right side
    313,409.49x = 41,730,992,636.48
  5. Step 5: Solve for x
    x = 41,730,992,636.48/313,409.49
  6. Step 6: Final answer
    x = 133,151.66

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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.