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Finding the Fourth Proportional to 431,101.91, 646,153.91 and 203,541.83

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Solution

The fourth proportional to 431,101.91, 646,153.91 and 203,541.83 is: 305,077.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,101.91 : 646,153.91 = 203,541.83 : x
  2. Step 2: Convert to fraction form
    431,101.91/646,153.91 = 203,541.83/x
  3. Step 3: Cross multiply
    431,101.91x = 646,153.91 × 203,541.83
  4. Step 4: Simplify right side
    431,101.91x = 131,519,348,240.94
  5. Step 5: Solve for x
    x = 131,519,348,240.94/431,101.91
  6. Step 6: Final answer
    x = 305,077.16

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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.