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Finding the Fourth Proportional to 519,712.29, 779,433.11 and 220,038.62

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Solution

The fourth proportional to 519,712.29, 779,433.11 and 220,038.62 is: 330,000.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,712.29 : 779,433.11 = 220,038.62 : x
  2. Step 2: Convert to fraction form
    519,712.29/779,433.11 = 220,038.62/x
  3. Step 3: Cross multiply
    519,712.29x = 779,433.11 × 220,038.62
  4. Step 4: Simplify right side
    519,712.29x = 171,505,381,734.49
  5. Step 5: Solve for x
    x = 171,505,381,734.49/519,712.29
  6. Step 6: Final answer
    x = 330,000.63

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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.