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Finding the Fourth Proportional to 415,322.40, 622,983.60 and 411,385.80

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Solution

The fourth proportional to 415,322.40, 622,983.60 and 411,385.80 is: 617,078.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,322.40 : 622,983.60 = 411,385.80 : x
  2. Step 2: Convert to fraction form
    415,322.40/622,983.60 = 411,385.80/x
  3. Step 3: Cross multiply
    415,322.40x = 622,983.60 × 411,385.80
  4. Step 4: Simplify right side
    415,322.40x = 256,286,606,672.88
  5. Step 5: Solve for x
    x = 256,286,606,672.88/415,322.40
  6. Step 6: Final answer
    x = 617,078.70

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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.