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Finding the Fourth Proportional to 493,645.69, 740,497.25 and 138,687.39

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Solution

The fourth proportional to 493,645.69, 740,497.25 and 138,687.39 is: 208,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,645.69 : 740,497.25 = 138,687.39 : x
  2. Step 2: Convert to fraction form
    493,645.69/740,497.25 = 138,687.39/x
  3. Step 3: Cross multiply
    493,645.69x = 740,497.25 × 138,687.39
  4. Step 4: Simplify right side
    493,645.69x = 102,697,630,904.68
  5. Step 5: Solve for x
    x = 102,697,630,904.68/493,645.69
  6. Step 6: Final answer
    x = 208,039.15

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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.