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Finding the Fourth Proportional to 409,057.40, 613,586.10 and 128,538.20

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Solution

The fourth proportional to 409,057.40, 613,586.10 and 128,538.20 is: 192,807.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,057.40 : 613,586.10 = 128,538.20 : x
  2. Step 2: Convert to fraction form
    409,057.40/613,586.10 = 128,538.20/x
  3. Step 3: Cross multiply
    409,057.40x = 613,586.10 × 128,538.20
  4. Step 4: Simplify right side
    409,057.40x = 78,869,252,839.02
  5. Step 5: Solve for x
    x = 78,869,252,839.02/409,057.40
  6. Step 6: Final answer
    x = 192,807.30

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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.