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Finding the Fourth Proportional to 507,976.82, 701,039.46 and 281,622.32

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Solution

The fourth proportional to 507,976.82, 701,039.46 and 281,622.32 is: 388,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,976.82 : 701,039.46 = 281,622.32 : x
  2. Step 2: Convert to fraction form
    507,976.82/701,039.46 = 281,622.32/x
  3. Step 3: Cross multiply
    507,976.82x = 701,039.46 × 281,622.32
  4. Step 4: Simplify right side
    507,976.82x = 197,428,357,732.41
  5. Step 5: Solve for x
    x = 197,428,357,732.41/507,976.82
  6. Step 6: Final answer
    x = 388,656.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.