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Finding the Fourth Proportional to 654,177.60, 980,974.80 and 299,008.80

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Solution

The fourth proportional to 654,177.60, 980,974.80 and 299,008.80 is: 448,379.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,177.60 : 980,974.80 = 299,008.80 : x
  2. Step 2: Convert to fraction form
    654,177.60/980,974.80 = 299,008.80/x
  3. Step 3: Cross multiply
    654,177.60x = 980,974.80 × 299,008.80
  4. Step 4: Simplify right side
    654,177.60x = 293,320,097,778.24
  5. Step 5: Solve for x
    x = 293,320,097,778.24/654,177.60
  6. Step 6: Final answer
    x = 448,379.92

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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.