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Finding the Fourth Proportional to 409,056.40, 613,584.60 and 128,537.20

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Solution

The fourth proportional to 409,056.40, 613,584.60 and 128,537.20 is: 192,805.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,056.40 : 613,584.60 = 128,537.20 : x
  2. Step 2: Convert to fraction form
    409,056.40/613,584.60 = 128,537.20/x
  3. Step 3: Cross multiply
    409,056.40x = 613,584.60 × 128,537.20
  4. Step 4: Simplify right side
    409,056.40x = 78,868,446,447.12
  5. Step 5: Solve for x
    x = 78,868,446,447.12/409,056.40
  6. Step 6: Final answer
    x = 192,805.80

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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.