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Finding the Fourth Proportional to 516,435.44, 772,274.98 and 491,241.20

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Solution

The fourth proportional to 516,435.44, 772,274.98 and 491,241.20 is: 734,599.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,435.44 : 772,274.98 = 491,241.20 : x
  2. Step 2: Convert to fraction form
    516,435.44/772,274.98 = 491,241.20/x
  3. Step 3: Cross multiply
    516,435.44x = 772,274.98 × 491,241.20
  4. Step 4: Simplify right side
    516,435.44x = 379,373,287,905.18
  5. Step 5: Solve for x
    x = 379,373,287,905.18/516,435.44
  6. Step 6: Final answer
    x = 734,599.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.