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Finding the Fourth Proportional to 200,476.85, 300,715.14 and 187,190.82

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Solution

The fourth proportional to 200,476.85, 300,715.14 and 187,190.82 is: 280,786.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,476.85 : 300,715.14 = 187,190.82 : x
  2. Step 2: Convert to fraction form
    200,476.85/300,715.14 = 187,190.82/x
  3. Step 3: Cross multiply
    200,476.85x = 300,715.14 × 187,190.82
  4. Step 4: Simplify right side
    200,476.85x = 56,291,113,643.01
  5. Step 5: Solve for x
    x = 56,291,113,643.01/200,476.85
  6. Step 6: Final answer
    x = 280,786.11

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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.