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Finding the Fourth Proportional to 509,481.25, 702,343.13 and 356,043.06

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Solution

The fourth proportional to 509,481.25, 702,343.13 and 356,043.06 is: 490,821.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,481.25 : 702,343.13 = 356,043.06 : x
  2. Step 2: Convert to fraction form
    509,481.25/702,343.13 = 356,043.06/x
  3. Step 3: Cross multiply
    509,481.25x = 702,343.13 × 356,043.06
  4. Step 4: Simplify right side
    509,481.25x = 250,064,395,394.96
  5. Step 5: Solve for x
    x = 250,064,395,394.96/509,481.25
  6. Step 6: Final answer
    x = 490,821.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.