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Finding the Fourth Proportional to 492,815.88, 679,469.76 and 411,261.66

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Solution

The fourth proportional to 492,815.88, 679,469.76 and 411,261.66 is: 567,026.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,815.88 : 679,469.76 = 411,261.66 : x
  2. Step 2: Convert to fraction form
    492,815.88/679,469.76 = 411,261.66/x
  3. Step 3: Cross multiply
    492,815.88x = 679,469.76 × 411,261.66
  4. Step 4: Simplify right side
    492,815.88x = 279,439,861,417.40
  5. Step 5: Solve for x
    x = 279,439,861,417.40/492,815.88
  6. Step 6: Final answer
    x = 567,026.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.