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Finding the Fourth Proportional to 384,153.80, 576,230.70 and 304,838.60

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Solution

The fourth proportional to 384,153.80, 576,230.70 and 304,838.60 is: 457,257.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,153.80 : 576,230.70 = 304,838.60 : x
  2. Step 2: Convert to fraction form
    384,153.80/576,230.70 = 304,838.60/x
  3. Step 3: Cross multiply
    384,153.80x = 576,230.70 × 304,838.60
  4. Step 4: Simplify right side
    384,153.80x = 175,657,359,865.02
  5. Step 5: Solve for x
    x = 175,657,359,865.02/384,153.80
  6. Step 6: Final answer
    x = 457,257.90

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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.