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Finding the Fourth Proportional to 431,052.89, 646,539.43 and 203,296.28

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Solution

The fourth proportional to 431,052.89, 646,539.43 and 203,296.28 is: 304,925.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,052.89 : 646,539.43 = 203,296.28 : x
  2. Step 2: Convert to fraction form
    431,052.89/646,539.43 = 203,296.28/x
  3. Step 3: Cross multiply
    431,052.89x = 646,539.43 × 203,296.28
  4. Step 4: Simplify right side
    431,052.89x = 131,439,060,992.32
  5. Step 5: Solve for x
    x = 131,439,060,992.32/431,052.89
  6. Step 6: Final answer
    x = 304,925.60

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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.