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Finding the Fourth Proportional to 200,378.92, 300,455.79 and 137,270.20

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Solution

The fourth proportional to 200,378.92, 300,455.79 and 137,270.20 is: 205,828.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,378.92 : 300,455.79 = 137,270.20 : x
  2. Step 2: Convert to fraction form
    200,378.92/300,455.79 = 137,270.20/x
  3. Step 3: Cross multiply
    200,378.92x = 300,455.79 × 137,270.20
  4. Step 4: Simplify right side
    200,378.92x = 41,243,626,384.46
  5. Step 5: Solve for x
    x = 41,243,626,384.46/200,378.92
  6. Step 6: Final answer
    x = 205,828.17

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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.