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Finding the Fourth Proportional to 213,727.60, 320,591.40 and 203,886.10

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Solution

The fourth proportional to 213,727.60, 320,591.40 and 203,886.10 is: 305,829.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,727.60 : 320,591.40 = 203,886.10 : x
  2. Step 2: Convert to fraction form
    213,727.60/320,591.40 = 203,886.10/x
  3. Step 3: Cross multiply
    213,727.60x = 320,591.40 × 203,886.10
  4. Step 4: Simplify right side
    213,727.60x = 65,364,130,239.54
  5. Step 5: Solve for x
    x = 65,364,130,239.54/213,727.60
  6. Step 6: Final answer
    x = 305,829.15

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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.