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Finding the Fourth Proportional to 409,361.76, 613,828.80 and 128,803.68

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Solution

The fourth proportional to 409,361.76, 613,828.80 and 128,803.68 is: 193,138.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,361.76 : 613,828.80 = 128,803.68 : x
  2. Step 2: Convert to fraction form
    409,361.76/613,828.80 = 128,803.68/x
  3. Step 3: Cross multiply
    409,361.76x = 613,828.80 × 128,803.68
  4. Step 4: Simplify right side
    409,361.76x = 79,063,408,329.98
  5. Step 5: Solve for x
    x = 79,063,408,329.98/409,361.76
  6. Step 6: Final answer
    x = 193,138.24

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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.