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Finding the Fourth Proportional to 342,785.20, 514,323.60 and 165,200.80

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Solution

The fourth proportional to 342,785.20, 514,323.60 and 165,200.80 is: 247,871.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,785.20 : 514,323.60 = 165,200.80 : x
  2. Step 2: Convert to fraction form
    342,785.20/514,323.60 = 165,200.80/x
  3. Step 3: Cross multiply
    342,785.20x = 514,323.60 × 165,200.80
  4. Step 4: Simplify right side
    342,785.20x = 84,966,670,178.88
  5. Step 5: Solve for x
    x = 84,966,670,178.88/342,785.20
  6. Step 6: Final answer
    x = 247,871.47

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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.