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Finding the Fourth Proportional to 431,355.88, 646,318.64 and 262,364.97

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Solution

The fourth proportional to 431,355.88, 646,318.64 and 262,364.97 is: 393,112.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,355.88 : 646,318.64 = 262,364.97 : x
  2. Step 2: Convert to fraction form
    431,355.88/646,318.64 = 262,364.97/x
  3. Step 3: Cross multiply
    431,355.88x = 646,318.64 × 262,364.97
  4. Step 4: Simplify right side
    431,355.88x = 169,571,373,673.65
  5. Step 5: Solve for x
    x = 169,571,373,673.65/431,355.88
  6. Step 6: Final answer
    x = 393,112.46

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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.