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Finding the Fourth Proportional to 464,916.80, 639,571.86 and 407,296.64

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Solution

The fourth proportional to 464,916.80, 639,571.86 and 407,296.64 is: 560,305.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,916.80 : 639,571.86 = 407,296.64 : x
  2. Step 2: Convert to fraction form
    464,916.80/639,571.86 = 407,296.64/x
  3. Step 3: Cross multiply
    464,916.80x = 639,571.86 × 407,296.64
  4. Step 4: Simplify right side
    464,916.80x = 260,495,469,616.55
  5. Step 5: Solve for x
    x = 260,495,469,616.55/464,916.80
  6. Step 6: Final answer
    x = 560,305.56

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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.