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Finding the Fourth Proportional to 383,346.48, 529,028.64 and 213,591.72

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Solution

The fourth proportional to 383,346.48, 529,028.64 and 213,591.72 is: 294,762.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,346.48 : 529,028.64 = 213,591.72 : x
  2. Step 2: Convert to fraction form
    383,346.48/529,028.64 = 213,591.72/x
  3. Step 3: Cross multiply
    383,346.48x = 529,028.64 × 213,591.72
  4. Step 4: Simplify right side
    383,346.48x = 112,996,137,146.86
  5. Step 5: Solve for x
    x = 112,996,137,146.86/383,346.48
  6. Step 6: Final answer
    x = 294,762.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.