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Finding the Fourth Proportional to 431,152.17, 646,724.76 and 111,276.69

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Solution

The fourth proportional to 431,152.17, 646,724.76 and 111,276.69 is: 166,914.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,152.17 : 646,724.76 = 111,276.69 : x
  2. Step 2: Convert to fraction form
    431,152.17/646,724.76 = 111,276.69/x
  3. Step 3: Cross multiply
    431,152.17x = 646,724.76 × 111,276.69
  4. Step 4: Simplify right side
    431,152.17x = 71,965,387,791.34
  5. Step 5: Solve for x
    x = 71,965,387,791.34/431,152.17
  6. Step 6: Final answer
    x = 166,914.13

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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.