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Finding the Fourth Proportional to 521,464.80, 780,814.80 and 410,872.80

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Solution

The fourth proportional to 521,464.80, 780,814.80 and 410,872.80 is: 615,219.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,464.80 : 780,814.80 = 410,872.80 : x
  2. Step 2: Convert to fraction form
    521,464.80/780,814.80 = 410,872.80/x
  3. Step 3: Cross multiply
    521,464.80x = 780,814.80 × 410,872.80
  4. Step 4: Simplify right side
    521,464.80x = 320,815,563,157.44
  5. Step 5: Solve for x
    x = 320,815,563,157.44/521,464.80
  6. Step 6: Final answer
    x = 615,219.98

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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.