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Finding the Fourth Proportional to 431,384.81, 647,078.81 and 131,864.23

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Solution

The fourth proportional to 431,384.81, 647,078.81 and 131,864.23 is: 197,796.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,384.81 : 647,078.81 = 131,864.23 : x
  2. Step 2: Convert to fraction form
    431,384.81/647,078.81 = 131,864.23/x
  3. Step 3: Cross multiply
    431,384.81x = 647,078.81 × 131,864.23
  4. Step 4: Simplify right side
    431,384.81x = 85,326,545,135.25
  5. Step 5: Solve for x
    x = 85,326,545,135.25/431,384.81
  6. Step 6: Final answer
    x = 197,796.82

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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.