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Finding the Fourth Proportional to 363,980.16, 545,971.64 and 111,259.68

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Solution

The fourth proportional to 363,980.16, 545,971.64 and 111,259.68 is: 166,889.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,980.16 : 545,971.64 = 111,259.68 : x
  2. Step 2: Convert to fraction form
    363,980.16/545,971.64 = 111,259.68/x
  3. Step 3: Cross multiply
    363,980.16x = 545,971.64 × 111,259.68
  4. Step 4: Simplify right side
    363,980.16x = 60,744,627,977.62
  5. Step 5: Solve for x
    x = 60,744,627,977.62/363,980.16
  6. Step 6: Final answer
    x = 166,889.94

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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.