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Finding the Fourth Proportional to 262,814.40, 394,221.60 and 242,539.20

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Solution

The fourth proportional to 262,814.40, 394,221.60 and 242,539.20 is: 363,808.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,814.40 : 394,221.60 = 242,539.20 : x
  2. Step 2: Convert to fraction form
    262,814.40/394,221.60 = 242,539.20/x
  3. Step 3: Cross multiply
    262,814.40x = 394,221.60 × 242,539.20
  4. Step 4: Simplify right side
    262,814.40x = 95,614,191,486.72
  5. Step 5: Solve for x
    x = 95,614,191,486.72/262,814.40
  6. Step 6: Final answer
    x = 363,808.80

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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.