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Finding the Fourth Proportional to 205,935.40, 308,903.10 and 200,103.40

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Solution

The fourth proportional to 205,935.40, 308,903.10 and 200,103.40 is: 300,155.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,935.40 : 308,903.10 = 200,103.40 : x
  2. Step 2: Convert to fraction form
    205,935.40/308,903.10 = 200,103.40/x
  3. Step 3: Cross multiply
    205,935.40x = 308,903.10 × 200,103.40
  4. Step 4: Simplify right side
    205,935.40x = 61,812,560,580.54
  5. Step 5: Solve for x
    x = 61,812,560,580.54/205,935.40
  6. Step 6: Final answer
    x = 300,155.10

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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.