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Finding the Fourth Proportional to 409,126.16, 613,785.80 and 128,643.41

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Solution

The fourth proportional to 409,126.16, 613,785.80 and 128,643.41 is: 192,995.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,126.16 : 613,785.80 = 128,643.41 : x
  2. Step 2: Convert to fraction form
    409,126.16/613,785.80 = 128,643.41/x
  3. Step 3: Cross multiply
    409,126.16x = 613,785.80 × 128,643.41
  4. Step 4: Simplify right side
    409,126.16x = 78,959,500,177.65
  5. Step 5: Solve for x
    x = 78,959,500,177.65/409,126.16
  6. Step 6: Final answer
    x = 192,995.48

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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.