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Finding the Fourth Proportional to 409,064.40, 613,617.40 and 128,584.40

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Solution

The fourth proportional to 409,064.40, 613,617.40 and 128,584.40 is: 192,883.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,064.40 : 613,617.40 = 128,584.40 : x
  2. Step 2: Convert to fraction form
    409,064.40/613,617.40 = 128,584.40/x
  3. Step 3: Cross multiply
    409,064.40x = 613,617.40 × 128,584.40
  4. Step 4: Simplify right side
    409,064.40x = 78,901,625,208.56
  5. Step 5: Solve for x
    x = 78,901,625,208.56/409,064.40
  6. Step 6: Final answer
    x = 192,883.14

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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.