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Finding the Fourth Proportional to 419,841.60, 629,359.20 and 139,214.40

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Solution

The fourth proportional to 419,841.60, 629,359.20 and 139,214.40 is: 208,687.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,841.60 : 629,359.20 = 139,214.40 : x
  2. Step 2: Convert to fraction form
    419,841.60/629,359.20 = 139,214.40/x
  3. Step 3: Cross multiply
    419,841.60x = 629,359.20 × 139,214.40
  4. Step 4: Simplify right side
    419,841.60x = 87,615,863,412.48
  5. Step 5: Solve for x
    x = 87,615,863,412.48/419,841.60
  6. Step 6: Final answer
    x = 208,687.90

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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.