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Finding the Fourth Proportional to 384,496.80, 576,951.76 and 160,012

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Solution

The fourth proportional to 384,496.80, 576,951.76 and 160,012 is: 240,103.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,496.80 : 576,951.76 = 160,012 : x
  2. Step 2: Convert to fraction form
    384,496.80/576,951.76 = 160,012/x
  3. Step 3: Cross multiply
    384,496.80x = 576,951.76 × 160,012
  4. Step 4: Simplify right side
    384,496.80x = 92,319,205,021.12
  5. Step 5: Solve for x
    x = 92,319,205,021.12/384,496.80
  6. Step 6: Final answer
    x = 240,103.96

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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.