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Finding the Fourth Proportional to 516,915.60, 774,451.80 and 422,912.40

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Solution

The fourth proportional to 516,915.60, 774,451.80 and 422,912.40 is: 633,614.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,915.60 : 774,451.80 = 422,912.40 : x
  2. Step 2: Convert to fraction form
    516,915.60/774,451.80 = 422,912.40/x
  3. Step 3: Cross multiply
    516,915.60x = 774,451.80 × 422,912.40
  4. Step 4: Simplify right side
    516,915.60x = 327,525,269,422.32
  5. Step 5: Solve for x
    x = 327,525,269,422.32/516,915.60
  6. Step 6: Final answer
    x = 633,614.60

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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.