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Finding the Fourth Proportional to 354,930.60, 532,395.90 and 284,946.60

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Solution

The fourth proportional to 354,930.60, 532,395.90 and 284,946.60 is: 427,419.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,930.60 : 532,395.90 = 284,946.60 : x
  2. Step 2: Convert to fraction form
    354,930.60/532,395.90 = 284,946.60/x
  3. Step 3: Cross multiply
    354,930.60x = 532,395.90 × 284,946.60
  4. Step 4: Simplify right side
    354,930.60x = 151,704,401,558.94
  5. Step 5: Solve for x
    x = 151,704,401,558.94/354,930.60
  6. Step 6: Final answer
    x = 427,419.90

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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.