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Finding the Fourth Proportional to 519,978.50, 779,869.11 and 253,470.98

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Solution

The fourth proportional to 519,978.50, 779,869.11 and 253,470.98 is: 380,158.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,978.50 : 779,869.11 = 253,470.98 : x
  2. Step 2: Convert to fraction form
    519,978.50/779,869.11 = 253,470.98/x
  3. Step 3: Cross multiply
    519,978.50x = 779,869.11 × 253,470.98
  4. Step 4: Simplify right side
    519,978.50x = 197,674,187,583.43
  5. Step 5: Solve for x
    x = 197,674,187,583.43/519,978.50
  6. Step 6: Final answer
    x = 380,158.39

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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.