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Finding the Fourth Proportional to 535,047.57, 738,388.94 and 320,146.47

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Solution

The fourth proportional to 535,047.57, 738,388.94 and 320,146.47 is: 441,816.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,047.57 : 738,388.94 = 320,146.47 : x
  2. Step 2: Convert to fraction form
    535,047.57/738,388.94 = 320,146.47/x
  3. Step 3: Cross multiply
    535,047.57x = 738,388.94 × 320,146.47
  4. Step 4: Simplify right side
    535,047.57x = 236,392,611,027.31
  5. Step 5: Solve for x
    x = 236,392,611,027.31/535,047.57
  6. Step 6: Final answer
    x = 441,816.06

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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.