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Finding the Fourth Proportional to 654,447.60, 981,379.80 and 299,570.40

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Solution

The fourth proportional to 654,447.60, 981,379.80 and 299,570.40 is: 449,222.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,447.60 : 981,379.80 = 299,570.40 : x
  2. Step 2: Convert to fraction form
    654,447.60/981,379.80 = 299,570.40/x
  3. Step 3: Cross multiply
    654,447.60x = 981,379.80 × 299,570.40
  4. Step 4: Simplify right side
    654,447.60x = 293,992,339,237.92
  5. Step 5: Solve for x
    x = 293,992,339,237.92/654,447.60
  6. Step 6: Final answer
    x = 449,222.12

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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.