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Finding the Fourth Proportional to 186,959.20, 280,438.80 and 144,968.80

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Solution

The fourth proportional to 186,959.20, 280,438.80 and 144,968.80 is: 217,453.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,959.20 : 280,438.80 = 144,968.80 : x
  2. Step 2: Convert to fraction form
    186,959.20/280,438.80 = 144,968.80/x
  3. Step 3: Cross multiply
    186,959.20x = 280,438.80 × 144,968.80
  4. Step 4: Simplify right side
    186,959.20x = 40,654,876,309.44
  5. Step 5: Solve for x
    x = 40,654,876,309.44/186,959.20
  6. Step 6: Final answer
    x = 217,453.20

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1.5x scale

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.