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Finding the Fourth Proportional to 288,474.96, 432,712.44 and 78,112.86

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Solution

The fourth proportional to 288,474.96, 432,712.44 and 78,112.86 is: 117,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,474.96 : 432,712.44 = 78,112.86 : x
  2. Step 2: Convert to fraction form
    288,474.96/432,712.44 = 78,112.86/x
  3. Step 3: Cross multiply
    288,474.96x = 432,712.44 × 78,112.86
  4. Step 4: Simplify right side
    288,474.96x = 33,800,406,245.98
  5. Step 5: Solve for x
    x = 33,800,406,245.98/288,474.96
  6. Step 6: Final answer
    x = 117,169.29

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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.