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Finding the Fourth Proportional to 431,993.40, 647,990.10 and 243,036.60

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Solution

The fourth proportional to 431,993.40, 647,990.10 and 243,036.60 is: 364,554.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,993.40 : 647,990.10 = 243,036.60 : x
  2. Step 2: Convert to fraction form
    431,993.40/647,990.10 = 243,036.60/x
  3. Step 3: Cross multiply
    431,993.40x = 647,990.10 × 243,036.60
  4. Step 4: Simplify right side
    431,993.40x = 157,485,310,737.66
  5. Step 5: Solve for x
    x = 157,485,310,737.66/431,993.40
  6. Step 6: Final answer
    x = 364,554.90

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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.