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Finding the Fourth Proportional to 384,865.65, 577,243.80 and 132,157.80

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Solution

The fourth proportional to 384,865.65, 577,243.80 and 132,157.80 is: 198,217.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,865.65 : 577,243.80 = 132,157.80 : x
  2. Step 2: Convert to fraction form
    384,865.65/577,243.80 = 132,157.80/x
  3. Step 3: Cross multiply
    384,865.65x = 577,243.80 × 132,157.80
  4. Step 4: Simplify right side
    384,865.65x = 76,287,270,671.64
  5. Step 5: Solve for x
    x = 76,287,270,671.64/384,865.65
  6. Step 6: Final answer
    x = 198,217.93

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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.