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Finding the Fourth Proportional to 864,657.36, 1,296,970.68 and 273,666

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Solution

The fourth proportional to 864,657.36, 1,296,970.68 and 273,666 is: 410,494.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    864,657.36 : 1,296,970.68 = 273,666 : x
  2. Step 2: Convert to fraction form
    864,657.36/1,296,970.68 = 273,666/x
  3. Step 3: Cross multiply
    864,657.36x = 1,296,970.68 × 273,666
  4. Step 4: Simplify right side
    864,657.36x = 354,936,778,112.88
  5. Step 5: Solve for x
    x = 354,936,778,112.88/864,657.36
  6. Step 6: Final answer
    x = 410,494.14

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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.