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Finding the Fourth Proportional to 519,338.62, 779,108.92 and 199,467.08

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Solution

The fourth proportional to 519,338.62, 779,108.92 and 199,467.08 is: 299,239.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,338.62 : 779,108.92 = 199,467.08 : x
  2. Step 2: Convert to fraction form
    519,338.62/779,108.92 = 199,467.08/x
  3. Step 3: Cross multiply
    519,338.62x = 779,108.92 × 199,467.08
  4. Step 4: Simplify right side
    519,338.62x = 155,406,581,274.35
  5. Step 5: Solve for x
    x = 155,406,581,274.35/519,338.62
  6. Step 6: Final answer
    x = 299,239.41

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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.