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Finding the Fourth Proportional to 431,263.92, 646,180.68 and 262,273.08

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Solution

The fourth proportional to 431,263.92, 646,180.68 and 262,273.08 is: 392,974.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,263.92 : 646,180.68 = 262,273.08 : x
  2. Step 2: Convert to fraction form
    431,263.92/646,180.68 = 262,273.08/x
  3. Step 3: Cross multiply
    431,263.92x = 646,180.68 × 262,273.08
  4. Step 4: Simplify right side
    431,263.92x = 169,475,797,180.09
  5. Step 5: Solve for x
    x = 169,475,797,180.09/431,263.92
  6. Step 6: Final answer
    x = 392,974.67

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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.