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Finding the Fourth Proportional to 384,138.80, 576,208.20 and 304,823.60

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Solution

The fourth proportional to 384,138.80, 576,208.20 and 304,823.60 is: 457,235.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,138.80 : 576,208.20 = 304,823.60 : x
  2. Step 2: Convert to fraction form
    384,138.80/576,208.20 = 304,823.60/x
  3. Step 3: Cross multiply
    384,138.80x = 576,208.20 × 304,823.60
  4. Step 4: Simplify right side
    384,138.80x = 175,641,857,873.52
  5. Step 5: Solve for x
    x = 175,641,857,873.52/384,138.80
  6. Step 6: Final answer
    x = 457,235.40

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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.