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Finding the Fourth Proportional to 463,516.52, 639,661.86 and 302,474.60

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Solution

The fourth proportional to 463,516.52, 639,661.86 and 302,474.60 is: 417,420.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,516.52 : 639,661.86 = 302,474.60 : x
  2. Step 2: Convert to fraction form
    463,516.52/639,661.86 = 302,474.60/x
  3. Step 3: Cross multiply
    463,516.52x = 639,661.86 × 302,474.60
  4. Step 4: Simplify right side
    463,516.52x = 193,481,465,238.76
  5. Step 5: Solve for x
    x = 193,481,465,238.76/463,516.52
  6. Step 6: Final answer
    x = 417,420.86

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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.