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Finding the Fourth Proportional to 463,324, 639,382.80 and 262,120

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Solution

The fourth proportional to 463,324, 639,382.80 and 262,120 is: 361,723.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,324 : 639,382.80 = 262,120 : x
  2. Step 2: Convert to fraction form
    463,324/639,382.80 = 262,120/x
  3. Step 3: Cross multiply
    463,324x = 639,382.80 × 262,120
  4. Step 4: Simplify right side
    463,324x = 167,595,019,536
  5. Step 5: Solve for x
    x = 167,595,019,536/463,324
  6. Step 6: Final answer
    x = 361,723.16

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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.