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Finding the Fourth Proportional to 260,041.20, 389,946.60 and 119,842.80

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Solution

The fourth proportional to 260,041.20, 389,946.60 and 119,842.80 is: 179,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,041.20 : 389,946.60 = 119,842.80 : x
  2. Step 2: Convert to fraction form
    260,041.20/389,946.60 = 119,842.80/x
  3. Step 3: Cross multiply
    260,041.20x = 389,946.60 × 119,842.80
  4. Step 4: Simplify right side
    260,041.20x = 46,732,292,394.48
  5. Step 5: Solve for x
    x = 46,732,292,394.48/260,041.20
  6. Step 6: Final answer
    x = 179,711.11

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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.