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Finding the Fourth Proportional to 431,111.10, 646,359.45 and 164,768.70

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Solution

The fourth proportional to 431,111.10, 646,359.45 and 164,768.70 is: 247,035.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,111.10 : 646,359.45 = 164,768.70 : x
  2. Step 2: Convert to fraction form
    431,111.10/646,359.45 = 164,768.70/x
  3. Step 3: Cross multiply
    431,111.10x = 646,359.45 × 164,768.70
  4. Step 4: Simplify right side
    431,111.10x = 106,499,806,309.22
  5. Step 5: Solve for x
    x = 106,499,806,309.22/431,111.10
  6. Step 6: Final answer
    x = 247,035.64

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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.