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Finding the Fourth Proportional to 409,266.30, 613,899.45 and 209,520.30

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Solution

The fourth proportional to 409,266.30, 613,899.45 and 209,520.30 is: 314,280.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,266.30 : 613,899.45 = 209,520.30 : x
  2. Step 2: Convert to fraction form
    409,266.30/613,899.45 = 209,520.30/x
  3. Step 3: Cross multiply
    409,266.30x = 613,899.45 × 209,520.30
  4. Step 4: Simplify right side
    409,266.30x = 128,624,396,933.84
  5. Step 5: Solve for x
    x = 128,624,396,933.84/409,266.30
  6. Step 6: Final answer
    x = 314,280.45

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Similar ratio
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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.