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Finding the Fourth Proportional to 654,102.06, 980,963.55 and 254,653.80

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Solution

The fourth proportional to 654,102.06, 980,963.55 and 254,653.80 is: 381,906.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,102.06 : 980,963.55 = 254,653.80 : x
  2. Step 2: Convert to fraction form
    654,102.06/980,963.55 = 254,653.80/x
  3. Step 3: Cross multiply
    654,102.06x = 980,963.55 × 254,653.80
  4. Step 4: Simplify right side
    654,102.06x = 249,806,095,668.99
  5. Step 5: Solve for x
    x = 249,806,095,668.99/654,102.06
  6. Step 6: Final answer
    x = 381,906.91

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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.