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Finding the Fourth Proportional to 384,485.92, 575,924.64 and 309,198.40

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Solution

The fourth proportional to 384,485.92, 575,924.64 and 309,198.40 is: 463,150.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,485.92 : 575,924.64 = 309,198.40 : x
  2. Step 2: Convert to fraction form
    384,485.92/575,924.64 = 309,198.40/x
  3. Step 3: Cross multiply
    384,485.92x = 575,924.64 × 309,198.40
  4. Step 4: Simplify right side
    384,485.92x = 178,074,977,208.58
  5. Step 5: Solve for x
    x = 178,074,977,208.58/384,485.92
  6. Step 6: Final answer
    x = 463,150.84

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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.