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Finding the Fourth Proportional to 384,993.12, 577,358.40 and 195,380.64

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Solution

The fourth proportional to 384,993.12, 577,358.40 and 195,380.64 is: 293,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,993.12 : 577,358.40 = 195,380.64 : x
  2. Step 2: Convert to fraction form
    384,993.12/577,358.40 = 195,380.64/x
  3. Step 3: Cross multiply
    384,993.12x = 577,358.40 × 195,380.64
  4. Step 4: Simplify right side
    384,993.12x = 112,804,653,701.38
  5. Step 5: Solve for x
    x = 112,804,653,701.38/384,993.12
  6. Step 6: Final answer
    x = 293,004.34

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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.