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Finding the Fourth Proportional to 338,190.66, 506,480.76 and 195,735.96

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Solution

The fourth proportional to 338,190.66, 506,480.76 and 195,735.96 is: 293,137.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,190.66 : 506,480.76 = 195,735.96 : x
  2. Step 2: Convert to fraction form
    338,190.66/506,480.76 = 195,735.96/x
  3. Step 3: Cross multiply
    338,190.66x = 506,480.76 × 195,735.96
  4. Step 4: Simplify right side
    338,190.66x = 99,136,497,780.13
  5. Step 5: Solve for x
    x = 99,136,497,780.13/338,190.66
  6. Step 6: Final answer
    x = 293,137.89

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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.