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Finding the Fourth Proportional to 428,276.40, 642,414.60 and 411,946.80

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Solution

The fourth proportional to 428,276.40, 642,414.60 and 411,946.80 is: 617,920.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    428,276.40 : 642,414.60 = 411,946.80 : x
  2. Step 2: Convert to fraction form
    428,276.40/642,414.60 = 411,946.80/x
  3. Step 3: Cross multiply
    428,276.40x = 642,414.60 × 411,946.80
  4. Step 4: Simplify right side
    428,276.40x = 264,640,638,743.28
  5. Step 5: Solve for x
    x = 264,640,638,743.28/428,276.40
  6. Step 6: Final answer
    x = 617,920.20

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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.