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Finding the Fourth Proportional to 384,419.90, 576,629.85 and 366,923.90

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Solution

The fourth proportional to 384,419.90, 576,629.85 and 366,923.90 is: 550,385.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,419.90 : 576,629.85 = 366,923.90 : x
  2. Step 2: Convert to fraction form
    384,419.90/576,629.85 = 366,923.90/x
  3. Step 3: Cross multiply
    384,419.90x = 576,629.85 × 366,923.90
  4. Step 4: Simplify right side
    384,419.90x = 211,579,273,418.42
  5. Step 5: Solve for x
    x = 211,579,273,418.42/384,419.90
  6. Step 6: Final answer
    x = 550,385.85

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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.