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Finding the Fourth Proportional to 205,216.40, 307,824.60 and 72,246.80

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Solution

The fourth proportional to 205,216.40, 307,824.60 and 72,246.80 is: 108,370.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,216.40 : 307,824.60 = 72,246.80 : x
  2. Step 2: Convert to fraction form
    205,216.40/307,824.60 = 72,246.80/x
  3. Step 3: Cross multiply
    205,216.40x = 307,824.60 × 72,246.80
  4. Step 4: Simplify right side
    205,216.40x = 22,239,342,311.28
  5. Step 5: Solve for x
    x = 22,239,342,311.28/205,216.40
  6. Step 6: Final answer
    x = 108,370.20

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1.5x scale

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.