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Finding the Fourth Proportional to 538,027.30, 742,462.50 and 308,622.88

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Solution

The fourth proportional to 538,027.30, 742,462.50 and 308,622.88 is: 425,890.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,027.30 : 742,462.50 = 308,622.88 : x
  2. Step 2: Convert to fraction form
    538,027.30/742,462.50 = 308,622.88/x
  3. Step 3: Cross multiply
    538,027.30x = 742,462.50 × 308,622.88
  4. Step 4: Simplify right side
    538,027.30x = 229,140,915,042
  5. Step 5: Solve for x
    x = 229,140,915,042/538,027.30
  6. Step 6: Final answer
    x = 425,890.87

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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.