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Finding the Fourth Proportional to 409,205.70, 613,808.55 and 128,808.90

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Solution

The fourth proportional to 409,205.70, 613,808.55 and 128,808.90 is: 193,213.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,205.70 : 613,808.55 = 128,808.90 : x
  2. Step 2: Convert to fraction form
    409,205.70/613,808.55 = 128,808.90/x
  3. Step 3: Cross multiply
    409,205.70x = 613,808.55 × 128,808.90
  4. Step 4: Simplify right side
    409,205.70x = 79,064,004,136.10
  5. Step 5: Solve for x
    x = 79,064,004,136.10/409,205.70
  6. Step 6: Final answer
    x = 193,213.35

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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.