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Finding the Fourth Proportional to 399,918.46, 599,756.52 and 210,276.64

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Solution

The fourth proportional to 399,918.46, 599,756.52 and 210,276.64 is: 315,351.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,918.46 : 599,756.52 = 210,276.64 : x
  2. Step 2: Convert to fraction form
    399,918.46/599,756.52 = 210,276.64/x
  3. Step 3: Cross multiply
    399,918.46x = 599,756.52 × 210,276.64
  4. Step 4: Simplify right side
    399,918.46x = 126,114,785,843.69
  5. Step 5: Solve for x
    x = 126,114,785,843.69/399,918.46
  6. Step 6: Final answer
    x = 315,351.25

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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.