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Finding the Fourth Proportional to 384,940.60, 577,410.90 and 346,449.40

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Solution

The fourth proportional to 384,940.60, 577,410.90 and 346,449.40 is: 519,674.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,940.60 : 577,410.90 = 346,449.40 : x
  2. Step 2: Convert to fraction form
    384,940.60/577,410.90 = 346,449.40/x
  3. Step 3: Cross multiply
    384,940.60x = 577,410.90 × 346,449.40
  4. Step 4: Simplify right side
    384,940.60x = 200,043,659,858.46
  5. Step 5: Solve for x
    x = 200,043,659,858.46/384,940.60
  6. Step 6: Final answer
    x = 519,674.10

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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.