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Finding the Fourth Proportional to 919,600, 1,269,048 and 517,200.64

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Solution

The fourth proportional to 919,600, 1,269,048 and 517,200.64 is: 713,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    919,600 : 1,269,048 = 517,200.64 : x
  2. Step 2: Convert to fraction form
    919,600/1,269,048 = 517,200.64/x
  3. Step 3: Cross multiply
    919,600x = 1,269,048 × 517,200.64
  4. Step 4: Simplify right side
    919,600x = 656,352,437,790.72
  5. Step 5: Solve for x
    x = 656,352,437,790.72/919,600
  6. Step 6: Final answer
    x = 713,736.88

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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.