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Finding the Fourth Proportional to 465,009.66, 641,636.85 and 273,997.08

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Solution

The fourth proportional to 465,009.66, 641,636.85 and 273,997.08 is: 378,070.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,009.66 : 641,636.85 = 273,997.08 : x
  2. Step 2: Convert to fraction form
    465,009.66/641,636.85 = 273,997.08/x
  3. Step 3: Cross multiply
    465,009.66x = 641,636.85 × 273,997.08
  4. Step 4: Simplify right side
    465,009.66x = 175,806,623,320.40
  5. Step 5: Solve for x
    x = 175,806,623,320.40/465,009.66
  6. Step 6: Final answer
    x = 378,070.91

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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.