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Finding the Fourth Proportional to 519,315.20, 778,389.60 and 219,744.80

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Solution

The fourth proportional to 519,315.20, 778,389.60 and 219,744.80 is: 329,370.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,315.20 : 778,389.60 = 219,744.80 : x
  2. Step 2: Convert to fraction form
    519,315.20/778,389.60 = 219,744.80/x
  3. Step 3: Cross multiply
    519,315.20x = 778,389.60 × 219,744.80
  4. Step 4: Simplify right side
    519,315.20x = 171,047,066,974.08
  5. Step 5: Solve for x
    x = 171,047,066,974.08/519,315.20
  6. Step 6: Final answer
    x = 329,370.42

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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.