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Finding the Fourth Proportional to 493,873.47, 740,812.91 and 138,890.57

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Solution

The fourth proportional to 493,873.47, 740,812.91 and 138,890.57 is: 208,336.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,873.47 : 740,812.91 = 138,890.57 : x
  2. Step 2: Convert to fraction form
    493,873.47/740,812.91 = 138,890.57/x
  3. Step 3: Cross multiply
    493,873.47x = 740,812.91 × 138,890.57
  4. Step 4: Simplify right side
    493,873.47x = 102,891,922,934.74
  5. Step 5: Solve for x
    x = 102,891,922,934.74/493,873.47
  6. Step 6: Final answer
    x = 208,336.61

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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.