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Finding the Fourth Proportional to 312,853.56, 469,323.96 and 96,729.94

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Solution

The fourth proportional to 312,853.56, 469,323.96 and 96,729.94 is: 145,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,853.56 : 469,323.96 = 96,729.94 : x
  2. Step 2: Convert to fraction form
    312,853.56/469,323.96 = 96,729.94/x
  3. Step 3: Cross multiply
    312,853.56x = 469,323.96 × 96,729.94
  4. Step 4: Simplify right side
    312,853.56x = 45,397,676,023.83
  5. Step 5: Solve for x
    x = 45,397,676,023.83/312,853.56
  6. Step 6: Final answer
    x = 145,108.39

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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.