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Finding the Fourth Proportional to 431,222.75, 646,119.06 and 262,231.90

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Solution

The fourth proportional to 431,222.75, 646,119.06 and 262,231.90 is: 392,913.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,222.75 : 646,119.06 = 262,231.90 : x
  2. Step 2: Convert to fraction form
    431,222.75/646,119.06 = 262,231.90/x
  3. Step 3: Cross multiply
    431,222.75x = 646,119.06 × 262,231.90
  4. Step 4: Simplify right side
    431,222.75x = 169,433,028,730.01
  5. Step 5: Solve for x
    x = 169,433,028,730.01/431,222.75
  6. Step 6: Final answer
    x = 392,913.01

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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.