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Finding the Fourth Proportional to 431,088.92, 646,633.31 and 131,571.03

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Solution

The fourth proportional to 431,088.92, 646,633.31 and 131,571.03 is: 197,356.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,088.92 : 646,633.31 = 131,571.03 : x
  2. Step 2: Convert to fraction form
    431,088.92/646,633.31 = 131,571.03/x
  3. Step 3: Cross multiply
    431,088.92x = 646,633.31 × 131,571.03
  4. Step 4: Simplify right side
    431,088.92x = 85,078,209,971.15
  5. Step 5: Solve for x
    x = 85,078,209,971.15/431,088.92
  6. Step 6: Final answer
    x = 197,356.52

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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.