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Finding the Fourth Proportional to 519,492.80, 779,077.20 and 204,046.40

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Solution

The fourth proportional to 519,492.80, 779,077.20 and 204,046.40 is: 306,005.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,492.80 : 779,077.20 = 204,046.40 : x
  2. Step 2: Convert to fraction form
    519,492.80/779,077.20 = 204,046.40/x
  3. Step 3: Cross multiply
    519,492.80x = 779,077.20 × 204,046.40
  4. Step 4: Simplify right side
    519,492.80x = 158,967,897,982.08
  5. Step 5: Solve for x
    x = 158,967,897,982.08/519,492.80
  6. Step 6: Final answer
    x = 306,005.97

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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.