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Finding the Fourth Proportional to 363,978.60, 545,967.90 and 331,319.40

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Solution

The fourth proportional to 363,978.60, 545,967.90 and 331,319.40 is: 496,979.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    363,978.60 : 545,967.90 = 331,319.40 : x
  2. Step 2: Convert to fraction form
    363,978.60/545,967.90 = 331,319.40/x
  3. Step 3: Cross multiply
    363,978.60x = 545,967.90 × 331,319.40
  4. Step 4: Simplify right side
    363,978.60x = 180,889,757,047.26
  5. Step 5: Solve for x
    x = 180,889,757,047.26/363,978.60
  6. Step 6: Final answer
    x = 496,979.10

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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.