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Finding the Fourth Proportional to 493,927.17, 740,804.64 and 138,856.78

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Solution

The fourth proportional to 493,927.17, 740,804.64 and 138,856.78 is: 208,260.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,927.17 : 740,804.64 = 138,856.78 : x
  2. Step 2: Convert to fraction form
    493,927.17/740,804.64 = 138,856.78/x
  3. Step 3: Cross multiply
    493,927.17x = 740,804.64 × 138,856.78
  4. Step 4: Simplify right side
    493,927.17x = 102,865,747,324.75
  5. Step 5: Solve for x
    x = 102,865,747,324.75/493,927.17
  6. Step 6: Final answer
    x = 208,260.96

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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.