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Finding the Fourth Proportional to 535,649.26, 739,241.89 and 293,978.55

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Solution

The fourth proportional to 535,649.26, 739,241.89 and 293,978.55 is: 405,715.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,649.26 : 739,241.89 = 293,978.55 : x
  2. Step 2: Convert to fraction form
    535,649.26/739,241.89 = 293,978.55/x
  3. Step 3: Cross multiply
    535,649.26x = 739,241.89 × 293,978.55
  4. Step 4: Simplify right side
    535,649.26x = 217,321,258,921.46
  5. Step 5: Solve for x
    x = 217,321,258,921.46/535,649.26
  6. Step 6: Final answer
    x = 405,715.60

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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.