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Finding the Fourth Proportional to 509,984.72, 765,002.04 and 194,382.80

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Solution

The fourth proportional to 509,984.72, 765,002.04 and 194,382.80 is: 291,583.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,984.72 : 765,002.04 = 194,382.80 : x
  2. Step 2: Convert to fraction form
    509,984.72/765,002.04 = 194,382.80/x
  3. Step 3: Cross multiply
    509,984.72x = 765,002.04 × 194,382.80
  4. Step 4: Simplify right side
    509,984.72x = 148,703,238,540.91
  5. Step 5: Solve for x
    x = 148,703,238,540.91/509,984.72
  6. Step 6: Final answer
    x = 291,583.71

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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.