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Finding the Fourth Proportional to 493,645.56, 740,497.06 and 138,687.26

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Solution

The fourth proportional to 493,645.56, 740,497.06 and 138,687.26 is: 208,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,645.56 : 740,497.06 = 138,687.26 : x
  2. Step 2: Convert to fraction form
    493,645.56/740,497.06 = 138,687.26/x
  3. Step 3: Cross multiply
    493,645.56x = 740,497.06 × 138,687.26
  4. Step 4: Simplify right side
    493,645.56x = 102,697,508,289.46
  5. Step 5: Solve for x
    x = 102,697,508,289.46/493,645.56
  6. Step 6: Final answer
    x = 208,038.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.