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Finding the Fourth Proportional to 519,938.20, 780,020.70 and 295,406.20

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Solution

The fourth proportional to 519,938.20, 780,020.70 and 295,406.20 is: 443,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,938.20 : 780,020.70 = 295,406.20 : x
  2. Step 2: Convert to fraction form
    519,938.20/780,020.70 = 295,406.20/x
  3. Step 3: Cross multiply
    519,938.20x = 780,020.70 × 295,406.20
  4. Step 4: Simplify right side
    519,938.20x = 230,422,950,908.34
  5. Step 5: Solve for x
    x = 230,422,950,908.34/519,938.20
  6. Step 6: Final answer
    x = 443,173.73

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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.