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Finding the Fourth Proportional to 509,481.50, 702,343.46 and 356,043.32

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Solution

The fourth proportional to 509,481.50, 702,343.46 and 356,043.32 is: 490,821.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,481.50 : 702,343.46 = 356,043.32 : x
  2. Step 2: Convert to fraction form
    509,481.50/702,343.46 = 356,043.32/x
  3. Step 3: Cross multiply
    509,481.50x = 702,343.46 × 356,043.32
  4. Step 4: Simplify right side
    509,481.50x = 250,064,697,278.69
  5. Step 5: Solve for x
    x = 250,064,697,278.69/509,481.50
  6. Step 6: Final answer
    x = 490,821.94

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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.