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Finding the Fourth Proportional to 519,719.80, 779,871.30 and 220,149.40

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Solution

The fourth proportional to 519,719.80, 779,871.30 and 220,149.40 is: 330,347.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,719.80 : 779,871.30 = 220,149.40 : x
  2. Step 2: Convert to fraction form
    519,719.80/779,871.30 = 220,149.40/x
  3. Step 3: Cross multiply
    519,719.80x = 779,871.30 × 220,149.40
  4. Step 4: Simplify right side
    519,719.80x = 171,688,198,772.22
  5. Step 5: Solve for x
    x = 171,688,198,772.22/519,719.80
  6. Step 6: Final answer
    x = 330,347.62

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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.