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Finding the Fourth Proportional to 431,050.64, 646,536.06 and 203,294.03

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Solution

The fourth proportional to 431,050.64, 646,536.06 and 203,294.03 is: 304,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,050.64 : 646,536.06 = 203,294.03 : x
  2. Step 2: Convert to fraction form
    431,050.64/646,536.06 = 203,294.03/x
  3. Step 3: Cross multiply
    431,050.64x = 646,536.06 × 203,294.03
  4. Step 4: Simplify right side
    431,050.64x = 131,436,917,945.04
  5. Step 5: Solve for x
    x = 131,436,917,945.04/431,050.64
  6. Step 6: Final answer
    x = 304,922.22

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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.