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Finding the Fourth Proportional to 538,837.92, 743,415.84 and 347,980.32

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Solution

The fourth proportional to 538,837.92, 743,415.84 and 347,980.32 is: 480,096.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,837.92 : 743,415.84 = 347,980.32 : x
  2. Step 2: Convert to fraction form
    538,837.92/743,415.84 = 347,980.32/x
  3. Step 3: Cross multiply
    538,837.92x = 743,415.84 × 347,980.32
  4. Step 4: Simplify right side
    538,837.92x = 258,694,081,896.27
  5. Step 5: Solve for x
    x = 258,694,081,896.27/538,837.92
  6. Step 6: Final answer
    x = 480,096.28

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1.5x scale

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.