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Finding the Fourth Proportional to 260,013.20, 389,904.60 and 119,814.80

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Solution

The fourth proportional to 260,013.20, 389,904.60 and 119,814.80 is: 179,669.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,013.20 : 389,904.60 = 119,814.80 : x
  2. Step 2: Convert to fraction form
    260,013.20/389,904.60 = 119,814.80/x
  3. Step 3: Cross multiply
    260,013.20x = 389,904.60 × 119,814.80
  4. Step 4: Simplify right side
    260,013.20x = 46,716,341,668.08
  5. Step 5: Solve for x
    x = 46,716,341,668.08/260,013.20
  6. Step 6: Final answer
    x = 179,669.12

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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.