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Finding the Fourth Proportional to 309,279.31, 463,902.08 and 84,623.53

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Solution

The fourth proportional to 309,279.31, 463,902.08 and 84,623.53 is: 126,930.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,279.31 : 463,902.08 = 84,623.53 : x
  2. Step 2: Convert to fraction form
    309,279.31/463,902.08 = 84,623.53/x
  3. Step 3: Cross multiply
    309,279.31x = 463,902.08 × 84,623.53
  4. Step 4: Simplify right side
    309,279.31x = 39,257,030,318.41
  5. Step 5: Solve for x
    x = 39,257,030,318.41/309,279.31
  6. Step 6: Final answer
    x = 126,930.67

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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.