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Finding the Fourth Proportional to 538,092.64, 742,639.62 and 347,660.20

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Solution

The fourth proportional to 538,092.64, 742,639.62 and 347,660.20 is: 479,817.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,092.64 : 742,639.62 = 347,660.20 : x
  2. Step 2: Convert to fraction form
    538,092.64/742,639.62 = 347,660.20/x
  3. Step 3: Cross multiply
    538,092.64x = 742,639.62 × 347,660.20
  4. Step 4: Simplify right side
    538,092.64x = 258,186,238,817.12
  5. Step 5: Solve for x
    x = 258,186,238,817.12/538,092.64
  6. Step 6: Final answer
    x = 479,817.45

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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.