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Finding the Fourth Proportional to 431,253.37, 646,164.96 and 262,262.53

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Solution

The fourth proportional to 431,253.37, 646,164.96 and 262,262.53 is: 392,958.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,253.37 : 646,164.96 = 262,262.53 : x
  2. Step 2: Convert to fraction form
    431,253.37/646,164.96 = 262,262.53/x
  3. Step 3: Cross multiply
    431,253.37x = 646,164.96 × 262,262.53
  4. Step 4: Simplify right side
    431,253.37x = 169,464,857,206.95
  5. Step 5: Solve for x
    x = 169,464,857,206.95/431,253.37
  6. Step 6: Final answer
    x = 392,958.92

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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.