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Finding the Fourth Proportional to 309,098.45, 463,586.16 and 84,405.47

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Solution

The fourth proportional to 309,098.45, 463,586.16 and 84,405.47 is: 126,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,098.45 : 463,586.16 = 84,405.47 : x
  2. Step 2: Convert to fraction form
    309,098.45/463,586.16 = 84,405.47/x
  3. Step 3: Cross multiply
    309,098.45x = 463,586.16 × 84,405.47
  4. Step 4: Simplify right side
    309,098.45x = 39,129,208,519.21
  5. Step 5: Solve for x
    x = 39,129,208,519.21/309,098.45
  6. Step 6: Final answer
    x = 126,591.41

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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.