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Finding the Fourth Proportional to 309,333.45, 463,999.82 and 84,695.61

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Solution

The fourth proportional to 309,333.45, 463,999.82 and 84,695.61 is: 127,043.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,333.45 : 463,999.82 = 84,695.61 : x
  2. Step 2: Convert to fraction form
    309,333.45/463,999.82 = 84,695.61/x
  3. Step 3: Cross multiply
    309,333.45x = 463,999.82 × 84,695.61
  4. Step 4: Simplify right side
    309,333.45x = 39,298,747,371.31
  5. Step 5: Solve for x
    x = 39,298,747,371.31/309,333.45
  6. Step 6: Final answer
    x = 127,043.32

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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.