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Finding the Fourth Proportional to 538,489.46, 743,225.72 and 320,825.64

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Solution

The fourth proportional to 538,489.46, 743,225.72 and 320,825.64 is: 442,805.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,489.46 : 743,225.72 = 320,825.64 : x
  2. Step 2: Convert to fraction form
    538,489.46/743,225.72 = 320,825.64/x
  3. Step 3: Cross multiply
    538,489.46x = 743,225.72 × 320,825.64
  4. Step 4: Simplify right side
    538,489.46x = 238,445,866,126.14
  5. Step 5: Solve for x
    x = 238,445,866,126.14/538,489.46
  6. Step 6: Final answer
    x = 442,805.08

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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.