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Finding the Fourth Proportional to 538,091.64, 742,638.24 and 347,659.20

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Solution

The fourth proportional to 538,091.64, 742,638.24 and 347,659.20 is: 479,816.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,091.64 : 742,638.24 = 347,659.20 : x
  2. Step 2: Convert to fraction form
    538,091.64/742,638.24 = 347,659.20/x
  3. Step 3: Cross multiply
    538,091.64x = 742,638.24 × 347,659.20
  4. Step 4: Simplify right side
    538,091.64x = 258,185,016,407.81
  5. Step 5: Solve for x
    x = 258,185,016,407.81/538,091.64
  6. Step 6: Final answer
    x = 479,816.07

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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.