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Finding the Fourth Proportional to 519,374.52, 779,162.76 and 199,503

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Solution

The fourth proportional to 519,374.52, 779,162.76 and 199,503 is: 299,293.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,374.52 : 779,162.76 = 199,503 : x
  2. Step 2: Convert to fraction form
    519,374.52/779,162.76 = 199,503/x
  3. Step 3: Cross multiply
    519,374.52x = 779,162.76 × 199,503
  4. Step 4: Simplify right side
    519,374.52x = 155,445,308,108.28
  5. Step 5: Solve for x
    x = 155,445,308,108.28/519,374.52
  6. Step 6: Final answer
    x = 299,293.29

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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.