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Finding the Fourth Proportional to 384,087.40, 575,439.90 and 328,791.40

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Solution

The fourth proportional to 384,087.40, 575,439.90 and 328,791.40 is: 492,595.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,087.40 : 575,439.90 = 328,791.40 : x
  2. Step 2: Convert to fraction form
    384,087.40/575,439.90 = 328,791.40/x
  3. Step 3: Cross multiply
    384,087.40x = 575,439.90 × 328,791.40
  4. Step 4: Simplify right side
    384,087.40x = 189,199,690,336.86
  5. Step 5: Solve for x
    x = 189,199,690,336.86/384,087.40
  6. Step 6: Final answer
    x = 492,595.41

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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.