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Finding the Fourth Proportional to 465,005.16, 641,630.64 and 273,992.58

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Solution

The fourth proportional to 465,005.16, 641,630.64 and 273,992.58 is: 378,064.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,005.16 : 641,630.64 = 273,992.58 : x
  2. Step 2: Convert to fraction form
    465,005.16/641,630.64 = 273,992.58/x
  3. Step 3: Cross multiply
    465,005.16x = 641,630.64 × 273,992.58
  4. Step 4: Simplify right side
    465,005.16x = 175,802,034,460.65
  5. Step 5: Solve for x
    x = 175,802,034,460.65/465,005.16
  6. Step 6: Final answer
    x = 378,064.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.