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Finding the Fourth Proportional to 409,363.26, 613,831.05 and 128,805.18

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Solution

The fourth proportional to 409,363.26, 613,831.05 and 128,805.18 is: 193,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,363.26 : 613,831.05 = 128,805.18 : x
  2. Step 2: Convert to fraction form
    409,363.26/613,831.05 = 128,805.18/x
  3. Step 3: Cross multiply
    409,363.26x = 613,831.05 × 128,805.18
  4. Step 4: Simplify right side
    409,363.26x = 79,064,618,884.84
  5. Step 5: Solve for x
    x = 79,064,618,884.84/409,363.26
  6. Step 6: Final answer
    x = 193,140.49

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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.