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Finding the Fourth Proportional to 493,671.11, 740,509.39 and 138,688.20

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Solution

The fourth proportional to 493,671.11, 740,509.39 and 138,688.20 is: 208,033.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,671.11 : 740,509.39 = 138,688.20 : x
  2. Step 2: Convert to fraction form
    493,671.11/740,509.39 = 138,688.20/x
  3. Step 3: Cross multiply
    493,671.11x = 740,509.39 × 138,688.20
  4. Step 4: Simplify right side
    493,671.11x = 102,699,914,555.56
  5. Step 5: Solve for x
    x = 102,699,914,555.56/493,671.11
  6. Step 6: Final answer
    x = 208,033.07

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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.